Question

If one angle of a triangle is equal to sum of the other,show that the triangle is a right-angled triangle.​

Answer 1

Step-by-step explanation:

Given :

• One angle = Sum of other two angles

To prove :

• It is a right angled triangle

Solution :

Let,

1st angle - ∠A

2nd angle - ∠B

3rd angle - ∠C

∠A + ∠B =∠C -- Given

We know that,

∠A + ∠B + ∠C = 180°

→ ∠C+(∠A + ∠B) = 180°

→ ∠C + ∠C = 180°

→ 2∠C = 180°

→ ∠C=180/2

→ ∠C = 90°

∠C = 90°, Therefore the triangle is right angled.

$\huge{ son \: prodigal}$