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
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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) (Show Source): You can put this solution on YOUR website!
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:
Apply the Quadratic Formula
x =
x ≈ 7.93 OR 1.07
9-x ≈ 1.07 OR 7.93
The lengths of the other two sides are approximately cm and cm.
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