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28 December, 11:00

the length of one leg of a right triangle is 6 feet. the length of the hypotenuse is 2 ft longer than the other leg. Find the length of the hypotenuse in the other leg.

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  1. 28 December, 12:21
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    The missing leg is 8 feet and the hypotenuse is 10 feet.

    Step-by-step explanation:

    Use the Pythagorean theorem which is A²+B²=C².

    So we know the first side is 6 so plug that into the equation which would now be 6²+B²=C².

    Because the hypotenuse is 2 feet longer than the missing leg we can plug in C=B+2 which would now make it 6²+B² = (B+2) ².

    Now we solve what we have so far which would now make the equation 36+B²=B²+4B + 4.

    Now we can figure out that 4B=32.

    Now isolate the variable, B, by divide both side of 4B=32 by 4.

    This gives us B=8.

    So the other side is 8 feet.

    Since we know that the hypotenuse is 2 feet longer than the leg we just add 2 feet to the original 8 feet to find the hypotenuse to be 10 feet.
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