using the converse of the pythagorean theorem explain wether a triangle with side 15 10 and 12 is a right triangle
The converse of the Pythagorean theorem states that if the square 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 of the triangle is 15, and the other two sides are 10 and 12.
To check if the triangle is a right triangle, we need to see if the square of the longest side (15) is equal to the sum of the squares of the other two sides (10 squared + 12 squared).
15 squared is equal to 225.
10 squared is equal to 100.
12 squared is equal to 144.
The sum of 100 and 144 is equal to 244.
Since 225 is not equal to 244, we can conclude that the triangle with sides 15, 10, and 12 is not a right triangle, according to the converse of the Pythagorean theorem.