If one angle of a triangle is equal to the sum of the other two, show

1.	If one angle of a triangle is equal to the sum of the other two, show that the triangle is a right triangle.
Answer» Given that one angle of a triangle is equal to the sum of the other two Let the measure of angles be x, y, z Therefore we can write above statement as x = y + z x + y + z = 180° Substituting the above value we get x + x = 180° 2x = 180° x = 180/2 x = 90° If one angle is 90° then the given triangle is a right angled triangle

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

Answer»

Given that one angle of a triangle is equal to the sum of the other two

Let the measure of angles be x, y, z

Therefore we can write above statement as x = y + z

x + y + z = 180°

Substituting the above value we get

x + x = 180°

2x = 180°

x = 180/2

x = 90°

If one angle is 90° then the given triangle is a right angled triangle