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 is 15. According to the Pythagorean Theorem, if the triangle is a right triangle, 15² should be equal to 10² + 12².
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, as it does not satisfy the Converse of the Pythagorean Theorem.
Using the Converse of the Pythagorean Theorem, explain whether a triangle with sides 15, 10, and 12 is a right triangle.(1 point)
1 answer