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# PLZ HELP ASAPP

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The longer leg of a right triangle is $1$ foot shorter than twice the length of the shorter leg. The area of the triangle is $60$ square feet. What is the length of the hypotenuse, in feet?

Jun 12, 2020

#1
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so when the area of the triangle is 60 the 2 bases multiplied by each other equals 120 since 60*2 and we get the equation (2x^2-x)=120 and 2x^2=120+x so x=8 and 8*2-1=17 and 8^2+17^2=353 so the hypotenuse is $$\sqrt{353}$$

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Jun 12, 2020
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8*2-1=17    wrong!!!

Another way to calculate an 'x'       1/2 [ x (2x-1)] = 60

Guest Jun 12, 2020
#3
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The longer leg of a right triangle is $1$ foot shorter than twice the length of the shorter leg. The area of the triangle is $60$ square feet. What is the length of the hypotenuse, in feet?

Short way:

Hypotenuse     c = sqrt ( A * 2 ) = sqrt ( 60*2 )

Guest Jun 12, 2020