Question

if one angle of a triangle is equal to the sum of the Other .Show that the triangle is a right angled triangle

Answer 1

Answer:

Let A,B,C be the angles of a Triangle

given that

A = B + C

also A + B + C = 180°  [sum of all the angles of a triangle is 180°]

substituting value of B + C from above

A + A = 180°

A = 90°

Hence , triangle is a right angled triangle!