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What is the length of the unknown leg of the right triangle?

What is the length of the unknown leg of the right triangle?

The length of the unknown leg of the right triangle is ____ ft. (Round to one decimal place as needed.)




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1 Answer

  1. To find the length of the unknown leg of a right triangle, you can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two legs (a and b). The formula is:

    [ c^2 = a^2 + b^2 ]

    If you know the lengths of one leg and the hypotenuse, you can rearrange this formula to find the unknown leg. For instance, if you know one leg (a) and the hypotenuse (c), you would solve for the unknown leg (b) like this:

    [ b = sqrt{c^2 – a^2} ]

    Make sure to plug in the correct values for a and c, and round your final answer to one decimal place as needed. If you have specific values for the legs and hypotenuse, please share so I can help you calculate the unknown leg!

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