A right triangle has integer legs and a hypotenuse of sqrt(n), where 44 <= n <= 48. What is n?
+51 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 \(\boxed{45}\)
+51 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 \(\boxed{45}\)
