Question

Which side lengths form a right triangle? Choose all that apply. 5, the square root of 8, 33 or 8,15,17 or the square root of 2, the square root of 2, 2

Answer 1

17² = 15² + 8²

2² = (√2)² + (√2)²

Explanation:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as right angled, acute, obtuse and isosceles triangle.

In right angle triangle, one angle is 90°. From Pythagoras theorem, the square of the longest side (hypotenuse) is equal to the sum of the square of the two sides. Hence:

33² ≠ (√8)² + 5² (not right triangle)

17² = 15² + 8² (right triangle)

2² = (√2)² + (√2)² (right triangle)