Question

If the angles of a triangle are in the ratio 3:4:5, then find out the value of

each angle.​

Answer 1

Answer:

let take angles as x

3x , 4x , 5x

By angle sum property of traingle

3x + 4x + 5x = 180

12x = 180

x = 180/12

x = 15

= 3×15= 45

= 4 × 15 = 60

= 5 × 15 = 75

Answer 2

Answer :-

• The angles of the triangle are 45° , 60° and 75°.

Given :-

• The angles of a triangle are in the ratio of 3 : 4 : 5.

To find :-

• The value of each angle.

Step by step explanation :-

We know that the angles of a triangle are 3 : 4 : 5.

We need to find the value of each angle.

Since, They are in the ratio of 3 : 4 : 5

We know that :-

Sum of angles of a triangle = 180°.

So, If we add all these angles we will get 180°.

Now, The equation will be :-

$\sf 3x + 4x + 5x = 180 \degree$

By adding all the variables, We get :-

$\sf12x = 180 \degree$

By transposing 12 towards the right side, We get :-

x = $\bf \dfrac{180}{12}$

$\sf Thus, x = 15 \degree$

Therefore, Angles of the triangle are :-

$\sf 3x = 3 \times 15 \degree = 45\degree$

$\sf 4x = 4 \times 15 \degree = 60 \degree$

$\sf 5x = 5 \times 15 \degree = 75 \degree$

If you add these angles, You will get 180°.

So, The angles of the triangle are 45° , 60° and 75°.