Question

Find all the angles of a right angled isosceles triangle. [3 MARKS]

Answer 1

Applying property of triangle: 1 Mark
Steps: 1 Mark
Result: 1 Mark

In right angled isosceles triangle, sides other than the hypotenuse are equal in length.

In ABC, AB = BC ⇒∠1 = ∠3 -------------------I

By angle sum property of triangle,

1 + ∠2 + ∠3 = 180°

∠1 + 90 + ∠1 = 180°

2 ∠1 = 90°

⇒ ∠1 = 45° = ∠2

So, angles are 45°, 45° and 90°.