Question

in an isosceles triangle ABC if AC is equal to BC and AB square is equal to 2AC square then angle C is equal to

Answer 1

if AB = AC

AB² = 2AC²

AB² = AC² + AC²

AB² = AB² + AC² (CAUSE AB = AC)

SO, ACCORDING TO THE PYTHAGORAS REVERSE THEOREM

ANGLE C = 90°

Answer 2

Answer: 90°

Step-by-step explanation:

given that

AB² = 2 AC²

it can be written as,

AB² = AC² + AC²

AB² = AB² + AC² ( ∵AB = AC)

it satisfy the pythagoras theorem.

so, according to reverse pythagoras theorem,

it means ΔABC is a right angle triangle.

and

∠ C = 90°