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Safari File Edit View History Bookmarks Window Help ID xyzhomework.com Mathway | Math Problem Solver Home I Account Settings I Support I Help I Log Qu ums Calendar Gradebook Log Out Zahra Qub Due in 3 hours, 43 minutes. Due Thu 12/14/2017 11:5 The hypotenuse of a right triangle is 10 inches. The length of the two legs are given by two consecutive even integers. Find the length of the two legs. The lengths of the two legs are and inches Get Help: Vidoo Points possible: 1 This is attempt I of 3 Submit

Explanation / Answer

Let the two legs are x and x +2

x2 + (x + 2)2 = 102

Or, x2 + x2 + 4x + 4 = 100

Or, 2x2 + 4x - 96 = 0

Or, x2 + 2x - 48 = 0

Or, x2 + 8x - 6x - 48 = 0

Or, x(x + 8) - 6(x + 8) = 0

Or, (x + 8)(x - 6) = 0

x = -8 or x = 6

So the length of one leg is 6 inches

Length of another leg = 6 + 2 = 8inches.

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