Question

1. If three angles of a triangle are in the ratio 3: 7:10, show that triangle is right-angled.​

Answer 1

Answer:

Yes it is a right angled triangle.

Step-by-step explanation:

We know that sum of all angles of a triangle is 180°

Now, let the ratio coefficient be x .

A/q

3x+ 7x +10x = 180°

20x = 180°

x = 180/20 = 9

So,

Angles are : 9×3= 27°

9×7= 63°

9×10=90°

Here, one of the 3 angle is 90° . So the triangle is a right angled triangle .

Answer 2

Answer:

Let the angles of a triangle = 3x , 7x and 10x

We know that ,

The sum of all angles of a triangle = 180°

3x + 7x + 10x = 180 °

20 x = 180°

X = 180°/20

X = 9°Hence , the angles of a triangle = 3x9° , 7x9° , 10x9°

= 27° , 63° , 90 °

Here , one angle of triangle is 90°

So, this triangle is Right-Angled triangle.