Question

1 pointDetermine if the following sides would form an acute, obtuse or right triangle17 meters, 17 meters, 22 metersNot a TriangleObtuse TriangleRight TriangleAcute Triangle

Answer 1

To determine whether the triangle is acute, right, or obtuse, add the squares of the two smaller sides, and compare the sum to the square of the largest side. If the sum is greater than the square of the largest side, the triangle is acute, if the sum is equal to the square of the largest side, the triangle is a right triangle, and if the sum is less than the square of the largest side the triangle is obtuse.

The sum of the squares of the smaller sides is equal to

`17^2+17^2=2(17^2)=578`

The square of the largest side is

`22^2=484`

Since the sum is bigger than the square of the largest side

`578>484`

The triangle is an acute triangle.