SOLUTION: A company is building triangular garden next to an office building as shown in the aerial view diagram. The hypotenuse of the right triangle will border the west side of the build

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Question 969491: A company is building triangular garden next to an office building as shown in the aerial view diagram. The hypotenuse of the right triangle will border the west side of the building which is 75 feet long. The design crew wants the other two borders of the garden to be different lengths so that the first side, S1, will be twice the length of the other border, S2. What are the lengths of the two borders of the garden, to the nearest hundredth of a foot?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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S2=Leg 2; S1=Leg 1=2S2; W=west side=75 feet (hypotenuse)
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S1%5E2%2BS2%5E2=W%5E2 Substitute for S1.
%282S2%29%5E2%2B%28S2%29%5E2=%2875ft%29%5E2
4%28S2%29%5E2%2B%28S2%29%5E2=5625ft%5E2
5%28S2%29%5E2=5625ft%5E2 Divide each side by 5.
%28S2%29%5E2=1125ft%5E2 Find the square root of each side.
S2=33.54ft ANSWER 1: Leg 2 (Side 2) is 33.54 feet.
S1=2S2=2%2833.54ft%29=67.08ft ANSWER 2: Leg 1 (Side 1) is 67.08 feet.