The hypotenuse of a right triangle is 5 feet long. One leg of the triangle is 3 feet longer than the other leg?
The hypotenuse of a right triangle is 5 feet long. A leg of the triangle is 3 feet higher then the other leg. Find the sum of the lengths of two sides the right triangle.
Let X = 1 + 3 = x leg x ² + other leg (X +3) ² = 25 x ² + x ² + 6x + 9 = 25 2x ² + 6x – 16 = 0 x = (-6 ± √ [164]) / 4 x = (-6 ± 4 √ [41]) / 4 x = (-3 + √ [41]) / 2 then (-3 + √ [41]) / 2 + (- 3 + √ [41]) / 2 + √ 3 [41] ≈ 6.4031
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