SOLUTION: The hypotenuse of a right-angled triangle is 8 cm long and the perimeter of a triangle is 17 cm. Find the lengths of the other two sides, giving your answer correct to 3 significan

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: The hypotenuse of a right-angled triangle is 8 cm long and the perimeter of a triangle is 17 cm. Find the lengths of the other two sides, giving your answer correct to 3 significan      Log On


   

Question 766161: The hypotenuse of a right-angled triangle is 8 cm long and the perimeter of a triangle is 17 cm. Find the lengths of the other two sides, giving your answer correct to 3 significant figures.
Answer by reviewermath(1029) About Me  (Show Source):
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Q:
The hypotenuse of a right-angled triangle is 8 cm long and the perimeter of a triangle is 17 cm. Find the lengths of the other two sides, giving your answer correct to 3 significant figures.
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A:
Let x be the length of one leg.
Therefore, the other leg measures 9-x.
Using Pythagorean Theorem:
x%5E2+%2B+%289-x%29%5E2+=+8%5E2
2x%5E2-18x%2B17=0
Apply the Quadratic Formula
x = %28-%28-18%29%2B-sqrt%28%28-18%29%5E2-4%282%29%2817%29%29%29%2F%282%282%29%29
x ≈ 7.93 OR 1.07
9-x ≈ 1.07 OR 7.93
The lengths of the other two sides are approximately highlight%287.93%29 cm and highlight%281.07%29 cm.