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Determine whether each triangle with sides of given lengths is a right triangle. Justify your answer by using the
Pythagorean Theorem.

7 ft, 8 ft, square root of 113 ft

Please help me, the square root is throwing me off.

Respuesta :

chetankachana

Answer:

It is a right triangle

Step-by-step explanation:

Ok, so the √113 ≈ 10.6

So we we know that that is the biggest side.

The pythagorean theorem : a² + b² = c², where a and b are the legs ( the two smaller sides) and c is the hypotenuse (the longest side of the triangle)

We can input what we know, as 7 and 8 are the smallest sides and √113 is the longest

7² + 8² = (√113)²

49 + 64 = 113

113 = 113

This is a right triangle.

-Chetan K