Question

if the angle of the triangle are in the ratio 3:4:5,then find the difference between the greatest and smallest angle of the triangle.​

Answer 1

Answer:

Let the angles be

3x , 4x and 5x respectively.

Now using the angle sum property of a triangle We have ,

3x + 4X + 5x = 180

12x = 180

x= 180/12

x= 30/2

x= 15.

Hence the angles are

3×15=45

4×15= 60

5×15= 75

➡Smallest angle in degrees is 45.

➡Greatest angle = 75 .

Step-by-step explanation:

Answer 2

Let angles be 3x, 4x and 5x

According to Angle-Sum theory, 3x+4x+5x = 180°

So, 12x = 180°

x = 180/12 = 15°

Substitute in the angles we took earlier.

Therefore, we have 45°(3x), 60°(4x) and 75°(5x).