Question
Using Converse of the Pythagorean Theorem, explain whether a triangle with sides 15, 10, and 12 is a right triangle.
Answers
GPT 3.5
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 other two sides, then the triangle is a right triangle.
In this case, the longest side is 15, so we need to check if 15^2 = 10^2 + 12^2.
15^2 = 225
10^2 = 100
12^2 = 144
100 + 144 = 244
Since 225 is not equal to 244, the given triangle with sides 15, 10, and 12 is not a right triangle.
In this case, the longest side is 15, so we need to check if 15^2 = 10^2 + 12^2.
15^2 = 225
10^2 = 100
12^2 = 144
100 + 144 = 244
Since 225 is not equal to 244, the given triangle with sides 15, 10, and 12 is not a right triangle.