In the figure, if AB=8, BC=6, AC=10 and CD=9, then AD=?

In the figure, if AB=8, BC=6, AC=10 and CD=9, then AD=?

A 10

B 7

C 8

D 17

Solution

Correct Answer: Option D

In triangle ABD,

AD2 = AB2 + (BC + CD)2

or, AD2 = 82 + (6 + 9)2

or, AD2 = 64 + 152

or, AD2 = 289

or, AD = 17