Question

an
A triangle ABC is an isosceles triangle in which
Lc = 90° If AC=6cm then AB = ?​

Answer 1

Answer:

Given:

Isoceles ΔABC has angle C = 90 º and AC = 6 cm.

Based on the given information, we have the following diagram.

We need to find AB.

Since angle C = 90 º, we have

angle A + angle B + angle C = 180º

angle A + angle B = 90 º

angle = 45 º = angle B (since angle A and angle B are opposite equal sides, and thus equal)

Hence, we have BC = AC = 6 cm.

Applying Pythagoras' theorem, we get

AB ² = AC ² + BC ²

AB ² = 6 ² + 6 ² (substituting the given values)

AB = 6