If a right triangle has one leg length of 5 and a hypotenuse of , find the length of the other leg.

55
45
5

1 answer

The missing leg length can be found using the Pythagorean Theorem, which states that the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b):

a^2 + b^2 = c^2

In this case, one leg length is given as 5 and the hypotenuse is unknown. Let the other leg length be represented by b.

Plugging the given values into the Pythagorean Theorem equation and solving for b:

5^2 + b^2 = c^2
25 + b^2 = 55^2
b^2 = 55^2 - 25
b^2 = 3025 - 25
b^2 = 3000
b = √3000
b = 54.77

Therefore, the length of the other leg is approximately 54.77.
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