If a right triangle has a leg that measures 8 inches and the hypotenuse is 12 inches, how long is the other leg? Round to the nearest tenth, if necessary.(1 point)%0D%0A inches
To find the length of the other leg of the right triangle, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two legs.
Let's denote the length of the other leg as 'x'.
Using the Pythagorean theorem, we have:
12^2 = 8^2 + x^2
144 = 64 + x^2
x^2 = 144 - 64
x^2 = 80
To find the value of x, we need to take the square root of both sides:
x = square root of 80
x ≈ 8.94 inches
Therefore, the other leg of the right triangle measures approximately 8.94 inches.
To find the length of the other leg of the right triangle, we can use the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two legs.
Let's denote the length of the missing leg as x.
According to the Pythagorean Theorem:
(length of one leg)^2 + (length of the other leg)^2 = (hypotenuse length)^2
Using the given values,
8^2 + x^2 = 12^2
Simplifying further:
64 + x^2 = 144
Subtracting 64 from both sides:
x^2 = 144 - 64
x^2 = 80
Taking the square root of both sides:
x = √80
Approximating to the nearest tenth:
x ≈ 8.9
Therefore, the other leg of the right triangle is approximately 8.9 inches.
To find the length of the other leg of a right triangle, you can use the Pythagorean theorem. The theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two legs.
Let's label the legs of the right triangle as a, b, and the hypotenuse as c. In this case, the known values are a = 8 inches and c = 12 inches. We need to find the value of b.
The Pythagorean theorem is given by:
a^2 + b^2 = c^2
Substituting the known values:
8^2 + b^2 = 12^2
64 + b^2 = 144
Next, let's rearrange the equation to isolate b^2:
b^2 = 144 - 64
b^2 = 80
To find b, we need to take the square root of both sides of the equation:
√(b^2) = √80
b = √80
Now, we can approximate the value of b by using a calculator. Rounding to the nearest tenth, b is approximately 8.9 inches.
Therefore, the other leg of the right triangle measures approximately 8.9 inches.
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To find the length of the other leg of the right triangle, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two legs.
Let's denote the length of the missing leg as 'x'.
Using the Pythagorean theorem, we have:
12^2 = 8^2 + x^2
144 = 64 + x^2
x^2 = 144 - 64
x^2 = 80
To find the value of x, we need to take the square root of both sides:
x = square root of 80
x ≈ 8.94 inches
Thus, the correct length of the other leg, rounded to the nearest tenth, is approximately 8.9 inches.