Question

In an isosceles triangle ABC if AC = BC and AB² = 2AC², then ∠C =

Options

• 30°

•  45°

• 90°

• 60°

Answer 1

Given: In Isosceles ΔABC, AC = BC and AB² = 2AC².

To find: Measure of angle C

In Isosceles ΔABC

AC = BC

\[\angle B = \angle A\](Equal sides have equal angles opposite to them)

`AB^2=2AC^2`

`AB^2=AC^2+AC^2`

`AB^2=AC^2+BC^2(AC=BC)`

`⇒ Δ ABC `is right angle triangle , with `∠ C= 90^o`

Hence the correct answer is `c`.