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Syllabus

ABC is a triangle. AD is a median of ABC. E is the midpoint of AD and produced to meet AC at F. prove that AF=1/3AC

IN TRIANGLE PQR IF ANGLE R IS GREATER THAN ANGLE Q THEN THE RIGHT ANSWER IS

1)QR IS GREATER THAN PR

2)PQ IS GREATER THAN PR

3)PR IS GREATER THAN PQ

OR 4)PR IS GREATER THAN QR

what is the full form of cpct ? what does it mean ?

if a+b+c=15 and a2+b2+c2=83 find value of a3+b3+c3-3abc

1.if two isosceles triangle have a common base,prove that the line segment joining their vertices bisects the common base at right angles.

2.show that the sum of three medians of a triangle is less than its perimeter.

if x

^{3}+ 1/x^{3}= 110 then find the value of x+1/xIn a triangle ABC AD is the bisector of angle BAC. Show that AB>BD and AC>CD

1. If the bisector of an angle of a triangle also bisect the opp. side , prove that the triangle is isos . triangle ?

2. If triangle ABC is right angle at B. such that angle BCA=2 angle BAC . show that hypt.AC =2BC ?

3. bisector of angle B and angle C of isos. triangle ABC with AB=AC intersect each other at O. Show that external angle adjacent to angle ABC = angle BOC

4. In a rt. triangle prove that the line segment joining the mid point of the hypt to the opp. vertex is half of the hypt ?

5. line segment joining the midpoint M&N of prallel sides AB and DC . respectivelly of a trap. ABCD is perpendicular to both sides AB and DC . prove that AD = BC ?

What is CPCT?Give me a detailed brief about cpct?

Rd sharma

If the altitudes of a triangle ABC are equal,then prove that triangle is equilateral.

Medians BE and CF of a triangle ABC are equal. Prove that the triangle is isosceles

proof for basic proportionality theorem

In a triange ABC, prove that AB + AC > 2AD, where AD is the median from A to BC..pls answer this one....

Prove that Sum of Two Sides of a triangle is greater than twice the length of median drawn to third side.

(A) 8.3 cm, 3.4 cm, 6.1 cm

(B) 5.4 cm, 2.3cm , 3.1 cm

(C) 6 cm, 7 cm, 10 cm

(D) 3 cm, 5 cm, 5 cm

prove that sum of all 3 angles of a triangle is 180.

^{0}+y=2xneed the answer fast!!!!two adjacent angles are equal. is it necessary that each of these angles will be a right angle? justify your answer.

If D is a mid-point of the hypotenuse AC of a right angled triangle ABC ( right angled at B ), prove that BD=1/2 ACQ. In the given figure, find the value of x ?

prove that the difference of any two sides of a triangle is less than third side.

Find x and H in the right triangle below.

rs agarwal class 9 summative assessment sample paper 1 solution Question 33

if each side of a triangle is halved , then its perimeter will be decreased by what per cent ?

prove that the perpendicular bisector of the sides of a cyclic quadrilateral are concurrent.

abc is a triangle with angle b = 2(angle c). d is a point on bc such that ad bisects angle bac and ab = cd.Prove angle bac = 72 degree

the side YZ of triangle XYZ is produced to a point L. the bisector of angle YXZ meets YZ at the point M. prove that angle XYZ+ angle XZL=2angle XMZ. PLZZ give me answer fast???

the side QR of triangle PQR is produced to a point S. If the bisectors of angle PQR and angle PRS meet at a point T, then prove that Angle QTR = 1/2 angle QPR.

I have an exam tomorrow!

I need the answer quick!!!!!

Prove that medians of equilateral triangle are equal.

MCQ Questions:-

1. One of the angles of a triangle is 75 degree. the difference of other two angles is 35 degree. then the largest angle of the triangle is ______.

a. 80. b. 75. c. 100. d. 135.

2. exterior angle of a triangle is 120 and the two triangle interior opposite angles are equal. Each of these angles is ______.

a. 60 b. 100 c. 120 d.180

3. two lines are respectively perpendicular to two sides perpendicular lines. then there are two lines are each other are ________.

a. parellel b. perpendicular c. inclined at acute angle d. intersect at 110 degree.

4. two supplemenatry angle are in ratio is 4:5. then the angles are _______

a. 90, 90 b. 80, 100 c. 30,50 d. 45,45.

5. in the figure angle POR = 3x and angle QOR = 2x + 10. the value of x for which POR is a straight line is ______.

a. 34, b. 24. c. 0. d. 10.

6. the compliment of CM is _____.

a. M b. 90 degree + M c. 90 degree minus M d. M x 90 degree.

7. in the figure, if M parellel to N, angle A : angle B = 2:3, then the measure of angle H is ______.

a. 72 degree b. 108 degree c. 120 degree d. 150 degree

8. two complimentary angles are in the ratio 1:5. then the measure of the angle is ______

a. 15, 75 b. 75, 15 c. 12, 60 d. 60,12.

9. in a right angled triangle, the two acute angle are in the ratio 4:5. then the acute angles are _____.

a. 50,40 b. 40,50 c. 45,55 d.30,60

10. if the measure of an angle is twice the measure of it's supplementary angle, then the measure of an angle is _____

a. 60 b. 90 c.120 d.130

Prove tht sum of 3 altitudes of a triangle is less than the sum of three sides of a triangle

From a point in the interior of an equilateral triangle,perpendiculars are drawn on three sides.The length of perpendiculars are 14 cm,10 cm and 6 cm.Find the area of the triangle.

in rectangle ABCD prove that AB+BC+CD+DAAC+BD

Construct a triangle XYZ in which angleY = 30

^{ }degree, angle Z = 90 degree, xy + yz + zx = 11cm..Is it possible to have a triangle like this without decimals considering the Pythagorean theorem??

maths crossword puzzle for class 9

Which practise book is more suitable?R.D Sharma/Reliable Question Bank fot 9th grade Maths?

If the bisector of the vertical angle of a triangle bisects the base,prove that the triangle is isosceles.

find the area of an isosceles triangle whose equal sides are 10 cm each and angle between them are 30

^{o}1) Prove that sum of any two sides of a triangle is greater than twice the median with respect to third side.

2) Show that the sum of three altitudes of a triangle is less than the sum of all three sides of triangle.

3) Prove that any two sides of a triangle are together greater than twice the median drawn to the 3rd side.

4) Prove that the perimeter of a triangle is greater than the sum of its medians.

5) In a quadrilateral ABCD in which diagonals AC BD intersects at O. Show that AB+BC+CD+DA 2(AC+BD)

6) ABC is a triangle in which angle B = twice angle C. D is a point on side BC such that AD bisects angle A and AB= CD. Prove that Angle BAC=72

1) In triangle ABC, AD is the median to side BC. Prove that AB+AC is greater than 2AD.

2)Prove that a line bisecting the vertical angle of a triangle is perpendicular to the base the triangle is isosceles.

ABCD is a square and EF is parallel to diagonal BD and EM=FM. prove that

DF=BE

AM bisects angle BAD

In triangle PQR, PS is the bisector of angle QPR and PT perpendicular QR. Show that angle TPS = 1/2 (angle Q-angle R).Its urgent ...Answer Fast Please.....

In triangle ABC points D and E are on bc such that BD=EC and AD=AE prove that AB=AC

AB and CD are respectively the smallest and longest sides of a quadrilateral ABCD. Show that angle A is greater than angle C and angle B is greater than angle D.

Show that the triangle formed by joining mid-points of the sides of an equilateral triangle is also equilateral.

How maney triangles can be drawn having its angles as 50 ,67&63 give reason

Prove that the perimeter of a triangle is greater than the sum of its altitudes

In the figure given below AB = AC, CH = CB and HK ║BC.If the exterior angle CAX is 140

^{o},thenPQRS is a square and SRT is an equilateral triangle. Prove that PT=QT and angle TQR=15 degrees

AD and BC are equal perpendiculars to a line segment AB (See the given figure). Show that CD bisects AB.

Prove that the perimeter of a triangle is greater than sum of its three altitudes.

The sides of a triangle are 25 cm, 17 cm, and 12cm, .The length of the altitude on the longest side is ?

S is a point on side QR of a triangle PQR. Show that: PQ + QR + RP 2PS

Two triangular walls of a flyover has been used for advertisement. The sides of each wall

are 100m,80m,and 40m.The advertisement yield an earning of RS.1200persquaremetre

per year. Find the amount of revenue earned in one year.

The sides of a triangle are 5 cm,12 cm and 13cm.find the length of perpendicular from the opposite vertex to the side whose length is 13cm

If root x/ root 81 = cube root x/root 27 ,then x is ?

can you give a brief proof for SSS congruence rule??

6. In Fig. 7.21, AC = AE, AB = AD and $\angle $ BAD = $\angle $ EAC. Show that BC = DE.

7. AB is a line segment and P is its mid-point. D and E are ponts on ttr same side of AB such that

$\angle $BAD = $\angle $ABE and $\angle $ EPA = $\angle $ DPB

(see Fig. 722). Show that

$\left(\mathrm{i}\right)\u25b3\mathrm{DAP}\equiv \u25b3\mathrm{EBP}$

(ii) AD= BE

Prove that in a quadrilateral the

sum of all sidesis greater than the sum of it's.diagonalsIN A TRIANGLE ABC, AD BISECTS ANGLE A AND ANGLE C > ANGLE B. PROVE THAT ANGLE ADB> ANGLE ADC

IN A RIGHT ANGLED TRIANGLE , ONE ACUTE ANGLE IS DOUBLE THE OTHER.PROVE THAT THE HYPOTENUSE IS DOUBLE THE SMALLEST SIDE

find the area of a triangle when two sides are 24cm and 10cm and the perimeter of the triangle is 62cm

what is heron??.what is full form of SSS,ASS,RHS,SAS?

triangle ABD abd BDC have common side BD.angle ABD =x Angle DBC=y Angle BCD=z, AB || DC. If x =4/3y

What is CPCT and can you explain the congruence rules ?

In any triangle XYZ, the bisectors of the angles y and z meet at '0'. From a point 'O', OP perpendicular to YZ, OQ perpendicular to ZX AND OR perpendicular to XY respectively.Prove that OP=OQ=OR

How do we prove the RHS congruence rule??

Dear Sir,

In triangle ABC, angle B is greater than angle C. If AM is the bisector of angle BAC and AN is perpendicular to BC, prove that angle MAN = 1/2 (angle B - angle C).

Please help me.

Rgds

Meherchand

what is the full form of cpct

In triangle ABC and NML, BL is perpendicular to AC, MC is perpendicular to LN, AL =CN and BL=CM. Prove that triangle ABC is congruent to triangle NML.

prove that each angle of a rectangle is a right angle ?

Q1) The parallel sides (DC and AB ) of trapezium are 60cm and 77cm respectively. The other two sides (AD and BC ) are 25cm and 26cm respectively . Find the area of the trapezium ABCD.

Q2) In a triangle, PT is perpendicular to QR and PS bisects angle QPR . If angleQ=65 and angleR=33, find angleTPS.

In Figure given below, ∠Q > ∠R, PA is the bisector of ∠QPR and PM

If lengths of the diagonals of a rhombus are 300m and 160m, find the side and area of the rhombus.

in triangle abc , angle b = 45 degree angle c = 55 degree and bisector af angle a meet bc at point d find the measure of angle adb and angle adc

plx help

where can i get rs aggarwal maths solutions?

(a) angle RPO = angle OQR

(b) angle POQ = 2 angle PRO

abcd is a parallelogram.if the two diagonals are equal.find the measure of angle abc

P is a point on the bisector of ∠ABC. If the line through P, parallel to BA meet BC at Q, prove that BPQ is an isosceles triangle.

PROVE that medians of an equilateral triangle are equal

prove that the three angles an equilateral triangles are equal