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

By the Angle Sum Property of triangle,

3x+7x+10x = 180 (degrees)

=> 20x = 180

=> x = 180/20

=>

__x = 9__

Now,

The first angle = 3x = 3(9)

=

**27 degrees**.

The second angle = 7x = 7(9)

=

**63 degrees**.

the third angle = 10x = 10(9)

=

**90 degrees.**

*Therefore, the triangle includes a right angle, and two acute angles. Hence, it is a right triangle*

H.P.

H.P.