Question

if the angles of the triangle are in ratio 3:7:10 , what kind of triangle if it.​

Answer 1

Step-by-step explanation:

We know that the triangle is 180°

So, 3x + 7x + 10x = 180

=> 20x = 180

=> x = 180/20

Hence, x = 9

So 3x = 27

7x = 63

10x = 90

Answer) Hence, this triangle is not equal and its angles are 27°, 63° and 90°.

Verification :-

If x is 9 then,

3 × 9 + 7 × 9 + 10 × 9 = 180

=> 27 + 63 + 90 = 180

=> 90 + 90 = 180

=> 180 = 180 [L.H.S = R.H.S]

Answer 2

Let the angles of the be X

3x : 7x : 10x

Now

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

20x = 180

x = 9

3x

3×9

27

7x

7×9

63

10x

10×9

90

As all the angles are completely different from each other , it is a Scalene Triangle.

hope it helps you

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