Question

In traingle abc, ab=ac=17 cm, d is a point on bc such that ad=15, cd=4, find bd?

Answer 1

I think is right and its help you.

Answer 2

BD = 8 centimetres.

Step-by-step explanation:

Refer attached figure.

Given:- In $\triangle ABC$,

AB=AC=17 cm

AD = 15 cm and CD = 4 cm.

To find:- BD = ?

Solution:-

In $\triangle ABD$, $\angle ABD = 90\ degree$

$\therefore$ By Pythagoras theorem,

$AB^{2} = AD^{2} +BD^{2}$

$17^{2} = 15^{2} +BD^{2}$

$289=225+BD^{2}$

$\therefore BD^{2} =289-225$

$\therefore BD^{2} =64$

$\therefore BD=8\ cm$      ------------------------(Taking root on both the sides)

Therefore BD = 8 centimetres.