1.

1. Prove that if one angle of a triangle is equalto the sum of the other two angles the triangleis right angled​

Answer»

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.

Please mark me as brainliest if it HELPS and follow me


Discussion

No Comment Found

Related InterviewSolutions