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Lisa [10]
4 years ago
7

A right triangle has one leg that is 17 centimeters shorter then the other. If the hypotenuse is 25 what is the length of the tw

o legs
Mathematics
1 answer:
Korvikt [17]4 years ago
7 0
Let x represent the shorter leg. Then the Pythagorean theorem tells us
  x^2 +(x +17)^2 = 25^2
  2x^2 +34x +289 = 625
  x^2 +17x -168 = 0
  (x -7)(x +24) = 0 . . . . . the zero product rule tells you x=7 is the solution

The shorter leg is 7 cm; the longer one is 24 cm.
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