In an isosceles △ ABC, AB = AC = 25 cm, BC = 14 cm. Calculate the value of AD
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 24
Here altitude from A to BC is AD, we know in isosceles altitude on non-equal sides also median,
so, BD = CD = BC/2 = 14/2 = 7cm
Now, we apply the Pythagoras theorem in △ABD,
AB2 = BD2 + AD2
(25)2 = (7)2 + AD2
AD2 = 625 − 49
AD2 = 576
AD = 24 cm