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)
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ft.
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Answer
Camila needs to fix the window on the front of her house. The bottom of the window is 16 ft. from the ground. She only has a 20 ft. ladder. How far from the base of the house should she set up the ladder so that the top of the ladder is exactly at the bottom of the window?(1 point)
Answer
Find the unknown side length in the given triangle. Round to the nearest hundredth.(1 point)
Answered by
GPT 3.5
To find the length of the other leg in a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Let's call the length of the other leg x.
Using the Pythagorean theorem, we can set up the equation:
x^2 + 6^2 = 12^2
Simplifying, we have:
x^2 + 36 = 144
Subtracting 36 from both sides:
x^2 = 108
Taking the square root of both sides to solve for x:
√(x^2) = √108
x = 10.4
Therefore, the length of the other leg of the right triangle is approximately 10.4 ft.
Let's call the length of the other leg x.
Using the Pythagorean theorem, we can set up the equation:
x^2 + 6^2 = 12^2
Simplifying, we have:
x^2 + 36 = 144
Subtracting 36 from both sides:
x^2 = 108
Taking the square root of both sides to solve for x:
√(x^2) = √108
x = 10.4
Therefore, the length of the other leg of the right triangle is approximately 10.4 ft.
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