Question

Select the procedure that can be used to show the converse of thePythagorean theorem using side lengths chosen from 5 cm, 9 cm, 12 cm, and13 cm.

Answer 1

Let a, b and c represent the 3 sides of a traingle

If c^2 < a^2 + b^2, the triangle is acute

If c^2 > a^2 + b^2, the triangle is obtuse

If c^2 = a^2 + b^2, the triangle is a right angle triangle

If a = 5, b = 12 and c = 13, then

13^2 = 5^2 + 12^2, then it is a right angle triangle

If a = 5, b = 9 and c = 13, then

5^2 + 9^2 < 13^2, then it is an acute triangle

If a = 9, b = 12 and c = 13, then

9^2 + 12^2 > 13^2, then it is an obtuse triangle