Question

∆ABC is an isosceles triangle in which ∠C = 90. If AC = 6 cm, then AB =

(a) $6\sqrt{2}\mathrm{cm}$
(b) 6 cm
(c) $2\sqrt{6}\mathrm{cm}$
(d) $4\sqrt{2}\mathrm{cm}$

Answer 1

Given: In an isosceles ΔABC, , AC = 6 cm.

To find: AB

In an isosceles ΔABC,.

Therefore, BC = AC = 6 cm

Applying Pythagoras theorem in ΔABC, we get

We got the result as .