SOLUTION: If a right triangle has a perimeter of 10 units, and its hypotenuse is twice as long as one of its legs, what are the lengths of its sides? I set the legs as x, 2x and x radical

Algebra ->  Triangles -> SOLUTION: If a right triangle has a perimeter of 10 units, and its hypotenuse is twice as long as one of its legs, what are the lengths of its sides? I set the legs as x, 2x and x radical      Log On


   

Question 744902: If a right triangle has a perimeter of 10 units, and its hypotenuse is twice as long as one of its legs, what are the lengths of its sides?
I set the legs as x, 2x and x radical 3, and solved the problem from there, but I need help making sure I got the right answer.
Thanks in advance!
Answer by MathTherapy(10552) About Me  (Show Source):
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If a right triangle has a perimeter of 10 units, and its hypotenuse is twice as long as one of its legs, what are the lengths of its sides?
I set the legs as x, 2x and x radical 3, and solved the problem from there, but I need help making sure I got the right answer.
Thanks in advance!

That's the right approach, but the legs are x and x%2Asqrt%283%29, while the hypotenuse is: 2x. With that you should get:

leg measurements of: highlight_green%283.7%29 and highlight_green%282.1%29

hypotenuse measurement of highlight_green%284.2%29 units.

You can do the check!!

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