izzysmith8653 izzysmith8653
  • 01-10-2017
  • Mathematics
contestada

One leg of a right triangle is 6 in. longer than the other leg. the hypotenuse of the triangle is 25 in. what is the length of each leg to the nearest inch?

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jbmow
jbmow jbmow
  • 01-10-2017
small leg = x
longer leg = x+6
hypotenuse = 25
Using the Pythagorean theorem  x^2 + (x+6)^2 = 25^2
I use a graphing calculator and
x = 14.421  so the longest leg = 20.421
or 14 and 20 inches
 
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