SOLUTION: The rectangular floor of a closet is divided into two right triangles by drawing a diagonal. One leg of the right triangle is 10 feet less than twice than twice the other leg. The
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Question 1134641: The rectangular floor of a closet is divided into two right triangles by drawing a diagonal. One leg of the right triangle is 10 feet less than twice than twice the other leg. The hypotenuse is 25 feet. Determine the closet's length and width. Let the width be the shorter side. Found 2 solutions by ikleyn, MathLover1:Answer by ikleyn(52790) (Show Source):
Let w be the width. Then the length is (2w - 10).
Your equation to find "w" is
w^2 + (2w-10)^2 = 25^2.
Simplify and solve for w.
Then evaluate 2w-10 as the length.
Happy calculations !
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The rectangular floor of a closet is divided into two right triangles by drawing a diagonal.
One leg of the right triangle is feet less than twice the other leg.
Let be the width. Then the length is .
Your equation to find "" is