Question

If the angles of a triangle are in the ration of 3 : 4 : 5, find them.

Answer 1

the angles of the triangle are 45 degrees, 60 degrees, and 75 degrees, and they are in the ratio of 3 : 4 : 5.

Explanation:

Let's denote the angles of the triangle as 3x, 4x, and 5x, where x is a constant.

Since the sum of the angles of a triangle is 180 degrees, we can write the following equation:

3x + 4x + 5x = 180

Simplifying this equation, we get:

12x = 180

Dividing both sides by 12, we get:

x = 15

Therefore, the angles of the triangle are:

3x = 3(15) = 45 degrees

4x = 4(15) = 60 degrees

5x = 5(15) = 75 degrees

So the angles of the triangle are 45 degrees, 60 degrees, and 75 degrees, and they are in the ratio of 3 : 4 : 5.