Question

In an isosceles triangle ABC ,if AC=BC and AB^2=2AC^2,the angle c=?

Answer 1

AB = BC

AB^2 = 2AC^2 => AB = (2)^(1/2)*AC

This means that ABC is an isosceles right angled triangle with AC as hypotenuse and right angle B. That means ABC is a 45–45–90 triangle.

Hence measure of angle C = measure of angle A = 45 degrees.

Answer 2

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