The sides of a triangle are related as 3: 5: 7. Determine the type of this triangle.

To determine the type of triangle, we need to find the degree measure of the angles. For the theorem about the sum of the angles of a triangle (the sum of the angles of a triangle is 180 °).

Let’s introduce the coefficient of proportionality “x”.

Angle # 1 = 3x, angle # 2 = 5x, angle # 3 = 7x.

Let’s solve the equation:

3x + 5x + 7x = 180;

15x = 180;

x = 180/15;

x = 12;

angle # 1 = 3 * 12 = 36 °

angle # 2 = 5 * 12 = 60 °

angle # 3 = 7 * 12 = 84 °

Answer: Since all corners are acute, a triangle is called acute-angled.