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Determine whether the given numbers represent the lengths of sides of a right triangle.9,40,41Do the given numbers represent the lengths of the sides of a right triangle?YesNo

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To prove that these numbers form the sides of a right triangle we should do these steps

1. Square the longest side

2. Find the sum of the squares of the other 2 sides

3. If the sum equals the square of the longest side, then the numbers can form a right triangle

Since the longest side is 41, then


(41)^2=1681

Since the other 2 numbers are 40 and 9, then


(40)^2+(9)^2=1600+81=1681

From both steps, we can say


(41)^2=(40)^2+(9)^2

Then the answer is

YES, 9, 40, 41 can form the sides of a right triangle

User Hamid Reza Ansari
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