Question

The angle of triangle are in the ratio of 3:4:5. Find the measure of each angle ​

Answer 1

✸ Question : -

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

✸ To find : -

Measure of each angles in the traingle

✸ Solution : -

Let the angles of triangle be 3x, 4x and 5x.

Now, We know that the sum of the angles in the triangle is 180°

let's add these angles and equate it to 180° ,

So , 3x+4x+5x = 180°

↝ 12x = 180°

↝ x = 180° / 12

↝ x = 15

Now let's substitute the value of x in all the unknown angles ;

1) 3x=3 (15) = 45°

2) 4x=4(15)=60°

3) 5x=5 (15)=75°

✏ Hence the measures of each angles are 45°,60° and 75° respectively.

__________________

☞ How to check the answer :-

Since the sum of the interior angles = 180° , add the three angles which must be always equal to 180° !

Here , 45° + 60° + 75° = 180°

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