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

March 31, 2021 | education

| 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.

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