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Can the numbers 24, 32, 40 be the lengths of the three sides of a right triangle? Explain why or why not.

1 Answer

4 votes

Answer:

24, 32, 40 can be the lengths of the three sides of a right triangle

Explanation:

Pythagoras theorem:

c^2 = a^2 + b^2

40^2 = 1,600

32^2 + 24^2 = 1024 + 576 = 1,600

If the square of the length of the hypotenuse (longest side length) is equal to the sum of the squares of the lengths of the other two sides then it's a right triangle

So

40^2 = 32^2 + 24^2

1,600 = 1,600

24, 32, 40 can be the lengths of the three sides of a right triangle

User Sherelle
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