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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