Question

find the angles of a triangle which are in the ratio of 3: 4: 5:

Answer 1

Answer :

Angles = 45° , 60° and 75°

Explanation :

According to the question :

Total angle of a triangle = 180°

Let the angle be ' x '

3x + 4x + 5x = 180°

=> 12x = 180°

=> x = 180 / 12

=> x = 15

To find :

3x = 3 × 15 = 45°

4x = 4 × 15 = 60°

5x = 5 × 15 = 75°

Verification :

Add all the values

=> 45° + 60° + 75° = 180°

=> 180° = 180°

Hence, verified !

❥ So, it's are Done ❥ !!

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Answer 2

First let the sum of triangle be 3x ,4x and 5x

Sum of the triangle = 180

Now do the sum of the angles = 3x+4x+5x = 180

= 12 x = 180

= x = 180/12

= x = 15

Now we got the value of x = 15

First angle = 3x = 3×15 = 45

Second angle = 4x = 4×15 = 60

Third angle = 5x = 5× 15 = 75

Hence, the angles are =45, 60and 75 .