Q. 64.4( 20 Votes )

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

Answer :

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

i.e. B = A + C

Now, in

Sum of all angles of triangle is 180o

A + B + C = 180o

B + B = 180o [Therefore, A + C = B]

2B = 180o

B = 90o

Therefore, ABC is right angled triangle.

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