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In a right triangle has one leg that measures 11 in and the hypotenuse measures 47 in, what is the length of the other leg?

Sagot :

musiclover10045

Using the Pythagorean theorem:


47 ^2 = 11^2 + x^2

2209 = 121 + x^2

Subtract 131 from both sides

2088 = x^2

Take the square root of both sides

X = sqrt(2088)

Simplify

X = 6sqrt(58)

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