Converse of the Pythagorean TheoremThe converse of the Pythagorean Theorem helps you to find out if a triangle is right. Basically, the converse states that whenever the sum of the squares of two sides equal to the square of the third side of the triangle, the triangle is a right triangle. For example, given the following 3 sides , is the triangle right? 4, 5, 3 Is 5^{2} = 4^{2} + 3^{2} ? 5^{2} = 25 and 4^{2} + 3^{2} = 16 + 9 = 25 Since 25 = 25, the triangle is a right triangle. Other examples: 1) Do the sides 6, 8, and 10 form a right triangle? Is 10^{2} = 6^{2} + 8^{2} ? 10^{2} = 100 and 6^{2} + 8^{2} = 36 + 64 = 100 Since 100 = 100, the triangle is a right triangle. 2) Do the sides 9, 12, and 15 form a right triangle? Is 15^{2} = 9^{2} + 12^{2} ? 15^{2} = 255 and 12^{2} + 9^{2} = 144 + 81 = 225 Since 255 = 255, the triangle is a right triangle. Fun math game: Destroy numbered balls by adding to 10





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