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.
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.
1 answer