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A right triangle has integer legs and a hypotenuse of sqrt(n), where 44 <= n <= 48.  What is n?

 May 14, 2020

Best Answer 

 #1
avatar+36 
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You can use guess and check and find the sum of squares that satisfy the inequality, because of the Pythagorean Theorum, a^2+b^2 = c^2. In this case, c, the hypotenuse is equal to sqrt(n), so a^2+b^2 = n. By using guess and check, we find that the leg lengths of 3 and 6 satisfy this, 3^2 + 6^2 = n, so n is \(\boxed{45}\)

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 May 14, 2020
 #1
avatar+36 
+2
Best Answer

You can use guess and check and find the sum of squares that satisfy the inequality, because of the Pythagorean Theorum, a^2+b^2 = c^2. In this case, c, the hypotenuse is equal to sqrt(n), so a^2+b^2 = n. By using guess and check, we find that the leg lengths of 3 and 6 satisfy this, 3^2 + 6^2 = n, so n is \(\boxed{45}\)

trumpstinks May 14, 2020

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