Use the Pythagorean Theorem Practice
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Question
If a right triangle has a leg that is 6 ft. long and the hypotenuse is 12 ft. long, how long is the other leg? Round to the nearest tenth.(1 point)
ft.
To find the length of the other leg of the right triangle, we can use the Pythagorean Theorem. The formula 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 know that one leg is 6 ft. (let's call it a) and the hypotenuse is 12 ft. (let's call it c).
Plugging in the given values into the Pythagorean Theorem formula, we get:
6^2 + b^2 = 12^2
36 + b^2 = 144
Now, let's solve for b:
b^2 = 144 - 36
b^2 = 108
Taking the square root of both sides:
b = √108
b ≈ 10.39
Therefore, the length of the other leg is approximately 10.39 ft.