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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