SOLUTION: If the hypotenuse of a 45º-45º-90º triangle is 54 inches long, what is the length of one of the legs? Leave your answer in radical form.

Algebra ->  Triangles -> SOLUTION: If the hypotenuse of a 45º-45º-90º triangle is 54 inches long, what is the length of one of the legs? Leave your answer in radical form.      Log On


   



Question 460084: If the hypotenuse of a 45º-45º-90º triangle is 54 inches long, what is the length of one of the legs? Leave your answer in radical form.
Answer by amoresroy(361) About Me  (Show Source):
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If the hypotenuse of a 45º-45º-90º triangle is 54 inches long, what is the length of one of the legs? Leave your answer in radical form.
Let x = the length of the legs of the right triangle
2x^2 = 54^2
x^2 = 54^2/2
x = 54/2^1/2
x = 54*sqrt of 2/2
x = 27*sqrt of 2