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What is the perimeter of a right triangle with legs measuring 3 and 4 feet?

10 feet

12 feet

To find the perimeter of a right triangle, you need to sum the lengths of all three sides. In this case, the two legs of the right triangle are given as 3 feet and 4 feet.

First, we can determine the length of the hypotenuse using the Pythagorean theorem, which states that the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). Mathematically, this is expressed as:

c² = a² + b²

Substituting the values of the legs into the equation:

c² = 3² + 4²

c² = 9 + 16

c² = 25

Taking the square root of both sides gives us:

c = √25 = 5 feet

Now that we have the lengths of all three sides (3 feet, 4 feet, and 5 feet), we can calculate the perimeter. The perimeter (P) of the triangle is the sum of the lengths of its sides:

P = a + b + c

P = 3 + 4 + 5

P = 12 feet

Therefore, the perimeter of the right triangle is

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14 feet

16 feet

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