Atriangle has sides of lengths 8,15 and 17. is it a right triangle? explain

Yes, a triangle with sides 8,15 and 17 is a right triangle.

Step-by-step explanation:

The Pythagorean theorem solely applies to right triangles, and if the sum of the square of the two sides of a triangle equal the square of the hypotenuse, then you have a right triangle.

To set it up, remember that the side opposite 30 degrees will be the smallest of the three numbers, and the side opposite 90 degrees (the hypotenuse) will be the largest, leaving the middle number as opposite 60 degrees. If you solve 8^2 + 15^2, you get 289, which is equal to 17^2.