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14 January, 00:07

A right triangle has legs of 2 feet and 18 inches. What is the perimeter of the triangle in inches?

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  1. 14 January, 00:35
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    So, this is a multistep problem. First, we need to convert everything to inches, find the diagonal of the right triangle, and then find the perimeter.

    Converting feet to inches: There are 12 inches in one foot. Since the right triangle has a leg that is 2 feet, we need to multiply that by 12. 2*12=24; So, the leg is 24 inches long.

    Finding the diagonal: We use this equation to find the hypotenuse: a²+b²=c² We know the legs of the triangle, we just need to find the diagonal.

    24²+18²=c² 576+324=900 √900=30; So, the length of the diagonal is 30 inches.

    Finding the perimeter: We need to add up all the sides.

    30+24+18=72

    So, the perimeter of the triangle is 72 inches.
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