Question

ASAP Please! True or False? Triangle FGH is a right triangle.

Answer 1

The answer is true. We know this because 9^2 - 6^2 is 45.

Answer 2

Answer:

True

Explanation:

To determine if this is a right triangle, we see if the Pythagorean theorem works for these sides.

The Pythagorean theorem says that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse; algebraically,

a² + b² = c²

The longest side will be the hypotenuse if this is a right triangle, and the other two will be the legs.

Plugging these into the Pythagorean theorem, we have

6²+(√45)² = 9²

Square root and squared cancel each other out, giving us

36+45 = 81

This is a true statement, so this is a right triangle.