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Mathematics, 07.03.2020 02:36 hendo617
The length of one leg of a right triangle is three times as large as the length of the other leg. If the hypotenuse has a length of 10 inches, which of the following is the perimeter of the triangle in inches? squareroot 10 4 squareroot 10 10 10 + squareroot 10 10 + 4 squareroot 10 Solution:The correct answer is E. If the length of the smaller leg is x then the larger leg is 3x, and by the Pythagorean Theorem, the hypotenuse is squareroot x^2 + 9x^2 = squareroot 10 x^2 = x squareroot 10 = 10, the given length. Solving for x, x 10/squareroot 10 = 10 squareroot 10/10 = squareroot 10, and the perimeter is squareroot 10 + 3 squareroot 10 + 10.
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The length of one leg of a right triangle is three times as large as the length of the other leg. If...
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