The shorter leg of a right triangle is 18 meters. The hypotenuse is 6 meters longer than the longer leg. Find the length of the longer leg.

Question

The shorter leg of a right triangle is 18 meters. The hypotenuse is 6 meters longer than the longer leg. Find the length of the longer leg.

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Nguyệt Ánh 3 years 2021-08-09T15:44:48+00:00 1 Answers 16 views 0

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  1. thienthi
    0
    2021-08-09T15:46:14+00:00
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    Answer:

    24 meters

    Step-by-step explanation:

    Use the pythagorean theorem

    18² + x² = (x + 6)²

    Expand

    324 + x² = x² + 12x + 36

    Subtract x² from both sides

    324 = 12x + 36

    Subtract 36 from both sides

    288 = 12x

    Divide both sides by 12

    24 = x

    24 meters

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