Question

If the angles of a triangle are in the ratio 5:3:7, then show that the triangle is an acute angled triangle.​

Answer 1

Answer:

Let the angles be 5x , 3x , 7x respectively.

By the problem,

5x+3x+7x = 180

so, 15x = 180

so, x =180/15

so, x = 12

Therefore, the angles are........

1) 5x = 60 degree (ANS)

2) 3x = 36 degree (ANS)

3) 7x = 84 degree (ANS)

Answer 2

Answer:

by angle sum rule of triangle angle sum equals to 180 degree 5 x + 3 X + 7 x equals to 180 15 X equals to 180 e x equals to 180 by 15 equals to 12 as now X = 12. 5 x = 60 and 7 x equals to 84 biggest angle is of 84 which means its acute