Question

In ΔABC, AD ⊥ BC. AB = 10 cm, BD = 6 cm, DC = 15 cm.

The value of x is ______.

पर्याय

• 7 cm

• 8 cm

• 9 cm

• 5 cm

Answer 1

The value of x is 8 cm.

Explanation:

In ΔABC, AD ⊥ BC. AB = 10 cm, BD = 6 cm, DC = 15 cm.

In ΔABD,

By Pythagoras theorem,

AB² = AD² + BD²

10² = x² + 6²

100 = x² + 36

x² = 64

⇒ x = 8