Can anyone solve the 14th question?

Can anyone solve the 14th question? 12. Find attitude of on equilateral triangle Of aide cm. a prove that ACZ 4AB2. In AABC, 90" and D is the mid-point or EC. Prove that • AJV 15. of height 9 and 10 stood vert.icfdly on u plane ground. If the distance their feel 12 m, lind the distance between their tops. In AAIjC, if AB AC and D is o point on BC.

Dear student,

The answer to the question no.14 is as follows :


D is the midpoint of BC. ⇒ AD = CD.
Angle B is a right angled triangle.

Consider ΔABC
AC² = AB² + BC² [Pythagoras theorem]
⇒ AC² = AB² + (2BD)²
⇒ AC² = AB² + 4BD² ----------- (1)

Consider ΔABC
AD² = AB² + BD² [Pythagoras theorem] ----------- (2)
Subtracting equation (2) from (1), we get
⇒ AC² - AD² = 3BD²
⇒ AC² - AD² = 3CD² [ Since BD = CD]
⇒ AC² = AD² + 3CD





For remaining queries we request you to post them in separate threads to have rapid assistance from our experts.

Regards