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user100 [1]
2 years ago
15

The hypotenuse of a right triangle is twice the length of one of its legs. The length of the other leg is three feet. Find the l

engths of the three sides of the triangle. Enter an exact answer. Do not type your answers as fractions or decimals.
Mathematics
2 answers:
kari74 [83]2 years ago
6 0

Answer:

2√3 = hypotenuse

√3 = side

Step-by-step explanation:

\sqrt{3^{2} +x^{2} } = 2x \\\sqrt{9 +x^{2} } = 2x\\9+x^{2} =(2x)^{2} \\9+x^{2} = 4x^{2} \\9 = 4x^{2} - x^{2} = 3x^{2} \\3 = x^{2}\\\sqrt{3} = x\\\\2x = 2\sqrt{3}\\

hjlf2 years ago
5 0

Answer:

the smaller side=√3

hypotenuse=2√3

Step-by-step explanation:

(see the attachment below)

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