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a right triangle has a leg of length 16 yards and hypotenuse of length 35 yards. find the length of the other leg. provide an answer accurate to the nearest tenth

User Clay Banks
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1 Answer

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Answer:

Explanation:

We can use the Pythagorean theorem to solve this problem. The Pythagorean theorem states that for a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse. That is:

a^2 + b^2 = c^2

where a and b are the lengths of the legs and c is the length of the hypotenuse.

In this case, we are given that one leg (a) has a length of 16 yards and the hypotenuse (c) has a length of 35 yards. We can plug these values into the formula and solve for the length of the other leg (b):

16^2 + b^2 = 35^2

256 + b^2 = 1225

b^2 = 1225 - 256

b^2 = 969

b = sqrt(969)

b ≈ 31.1

Therefore, the length of the other leg is approximately 31.1 yards (rounded to the nearest tenth).

User Jesi
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