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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

^{2}=SB$\times $ SC.what is the full form of cpct ? what does it mean ?

ABC XYZ- Two sides and the included angle are congruent
- AC = ZX (side)
- ACB = XZY (angle)
- CB = ZY (side)

- Therefore, by the Side Angle Side postulate, the triangles are congruent.

If we can prove SAS congruence by this method, why can't we prove ASA congruence by this ?

We can take two triangles ABC and DEF with angle A = angle D, angle B = angle E and side AB = DE ..!

Then we can simply put triangle DEF over triangle ABC and we'll see that all its corresponding parts will coincide which indeed proves that both the triangles are congruent. Thus equal in area.

I just want to know why can't we prove ASA congruence by this method ?

Please answer it as soon as possible.

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.

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???

In a triangle ABC AD is the bisector of angle BAC. Show that AB>BD and AC>CD

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

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 ?

in triangle ABC,angle ACB is equals to 120 and CAB is equals to 40 .AC is extented to P such that AP=AC+2CB,then angle ABP= ?

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

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

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

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

Q. In the given figure, find the value of x ?

proof for basic proportionality theorem

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

^{2}+ AC^{2}=k^{2}(AB^{2}) , where k is a real number , then the value of k can be what?prove that sum of all 3 angles of a triangle is 180.

Why is there no AAA congruence rule ? ( Math - Triangles )

if x

^{3}+ 1/x^{3}= 110 then find the value of x+1/xIn a triange ABC, prove that AB + AC > 2AD, where AD is the median from A to BC..pls answer this one....

## Rima used 3 of these 4 sticks to form a triangle with their ends touching each other.

Which of these could be the 3 sticks?

A. sticks P,Q and R

B.sticks P,Q and S

C. sticks P,R and S

d. sticks Q,R and S

CAN SOMEONE REPLY WHAT THE CORRECT ANS IS WITH EXPLAINATION

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

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

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

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

If P:Q = Tan 2A :Cos A and Q:R = Cos2A:Sin2A then P:R =?

1) Tan2A 2) 2 SinA 3)1 4)SecA

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 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!!!!!

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

Prove that medians of equilateral triangle are equal.

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.

What Is the difference between

andAASASAConstruct 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??

P, Q and R are respectively the mid-points of sides BC, AC and AB of an equilateral triangleABC. prove that trianglePQR is also an equilateral triangle.

maths crossword puzzle for class 9

thew difference between simple and compound interest for four years is rs.11115 at 20% p.a.what is the principal sum

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

Rd sharma

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

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.....

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.

what is CPCT?

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

pls tell me what is included side and non included side and the difference between aas and sas pls answer fast exam tomorrow

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

In a quadrilateral PQRS the diagonals PR and QS intersect at O. Prove that

i)PQ + QR + RS + +SP PR +QS

ii)PQ + QR + RS + SP

PQRS is a square and SRT is an equilateral triangle. Prove that PT=QT and angle TQR=15 degrees

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

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

A kite is in the shape of a rhombus with a diagonal 48cm nad an equilateral triangle of 5cm. It is to me made of five different colors. Find the area of paper of each color used. ( I did not get any other figure, so please refer to the figure acordingly. All five triangles have to be made of 5 different colors. Use root 3 = 1.73 )

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

also answer this formula in subtraction

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

Prove that in a quadrilateral the

sum of all sidesis greater than the sum of it's.diagonalsIN A RIGHT ANGLED TRIANGLE , ONE ACUTE ANGLE IS DOUBLE THE OTHER.PROVE THAT THE HYPOTENUSE IS DOUBLE THE SMALLEST SIDE

AD is the bisector of angle A of trianleABC, where D lies on BC.prove tht AB>BD and AC>CD.

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

What is CPCT and can you explain the congruence rules ?

How do we prove the RHS congruence rule??

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

what is the full form of cpct

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

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.

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

In the given ΔABC, ABD ACD and AD is the bisector of BAC.

Prove that:

(1)AB

(2)ADB

plz do prove it without missing any steps, easily and clearly becauz i am totally not getting it

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

RESPECTED TEACHERS AND FRIENDS,

can you explain the

example 7 of pg-126?(ch- triangles)please i've an exam on friday.please answer.

where can i get rs aggarwal maths solutions?

Prove that three times the perimeter of any triangle is greater than two times the sum of medians.

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