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Both 8,15,17 and 15,20,25 will form a right triangle

If you need help with these types of problems just go into google and search Pythagorean theory silver and plug in 2/3 side lengths and if the outcome equals the third number, then that means that the side lengths make a right triangle

The side lengths ( 8, 15, 17 ) and ( 15, 20, 25 ) form a right-angle triangle.

What is a right triangle?

A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly called a rectangle triangle, is a triangle in which one angle is a right angle or two sides are perpendicular.

According to the given problem,

We know, in a right-triangle,

Hypotenuse² = Perpendicular² + Base²

For sides, 8, 15, 17

⇒ Hypotenuse ² = 8² + 15²

⇒ Hypotenuse² = 64 + 225

⇒ Hypotenuse = √289

⇒ Hypotenuse = 17

For sides, 15, 20, 25,

⇒ Hypotenuse² = 15² + 20²

⇒ Hypotenuse² = 225 + 400

⇒ Hypotenuse = √625

⇒ Hypotenuse = 25

Hence, we cam conclude, the sides, ( 8, 15, 17 ) and ( 15, 20, 25 ) form a right-triangle.

Learn more about right-triangle here: https://brainly.com/question/6322314

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