Question

A triangle has side lengths of square root of, 7, end square root
7
​
units, square root of, 10, end square root
10
​
units, and square root of, 17, end square root
17
​
units. Classify the triangle as acute, obtuse, or right.A triangle has side lengths of square root of, 7, end square root
7
​
units, square root of, 10, end square root
10
​
units, and square root of, 17, end square root
17
​
units. Classify the triangle as acute, obtuse, or right.A triangle has side lengths of square root of, 7, end square root
7
​
units, square root of, 10, end square root
10
​
units, and square root of, 17, end square root
17
​
units. Classify the triangle as acute, obtuse, or right.

Answer 1

Right. Because (√7)^2 + (√10)^2 = 7 + 10 = 17 = (√17)^2, the side lengths satisfy the Pythagorean equation, so the triangle is a right triangle (the right angle is opposite the side √17).