Question

If the angles of a triangle are in the
ratio 3:7:10 show that triangle is right angled

Answer 1

if angle are in the ratio of 3:7:10,

then 3A+7A+10A = 180 (as the sum of all the angles will be 180 degree for a triangle)

20A= 180

A=9

hence angles are 27 degree,63 degree, 90 degree

hence the triangle will be right angle triangle

Answer 2

In right angle triangle one angle must be equal to 90°

Let the angle be 3x,7x and 10x

3x+7x+10x=180(angle sum property of triangle)

20x=180

x=9

The angles are 27°,63° and 90°

It shows that one of the angle is right angle