Math, asked by sabeehafatima9162, 3 days ago

if one angle of a triangle is equal to the sum of the other two show that the triangle is right angle​

Answers

Answered by jainmudit605
1

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 a right angled.

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