The converse of the Pythagorean theorem states that if the square of the length of the longest side of a triangle is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle.
In this case, the longest side of the triangle is 15. According to the converse of the Pythagorean theorem, if 15² is equal to the sum of the squares of the other two sides (10² + 12²), then the triangle is a right triangle.
Calculating:
15² = 225
10² + 12² = 100 + 144 = 244
Since 225 is not equal to 244, the triangle with sides 15, 10, and 12 is not a right triangle.
Using the converse of the pythagorean theorem, explain whether a triangle with sides 15, 10, and 12 is a right angle
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