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

ASAP Please! True or False? Triangle FGH is a right triangle.-example-1
User Plamb
by
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2 Answers

2 votes

Answer:

True

Step-by-step 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.

User Ellen Teapot
by
9.0k points
6 votes
The answer is true. We know this because 9^2 - 6^2 is 45.
User Mark Benningfield
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