High School

A triangular face of the roof of the garage has two sides

that are √93 feet in length each and a base of length

186 feet. Is the roof a right triangle? Explain the steps

to take to determine whether the roof forms a right

triangle.

A triangular face of the roof of the garage has two sides that are 93 feet in length each and a base of length 186

Answer :

Answer:

The roof does form a right triangle.

Step-by-step explanation:

If it is a right triangle then it will obey the Pythagoras Theorem.

Now (√186)^2 = (√93)^2 + (√93)^2

186 = 93 + 93 = 186

So it obeys the theorem and is therefore a right triangle.

Answer: First, identify the longest length, the square root of 186, as the hypotenuse. Find the squares of each side. For the roof, the sum of the squares of the two shorter sides, 186, equals the square of the longest side, 186. Yes, the roof is a right triangle.

Step-by-step explanation: it's on edge

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