If a right triangle has a leg with length 12 and the hypotenuse is 16, how long is the other leg? Round to the nearest tenth, if necessary.(1 point)
Using the Pythagorean theorem, we can solve for the length of the other leg. Let's call the other leg "x".
By the Pythagorean theorem, we have:
x^2 + 12^2 = 16^2
Simplifying this equation, we get:
x^2 +144 = 256
Subtracting 144 from both sides, we have:
x^2 = 112
To find the value of x, we take the square root of both sides:
x = √(112)
Using a calculator, we find:
x ≈ 10.6
Therefore, the length of the other leg is approximately 10.6.
To find the length of the other leg of the right triangle, we can use the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Let's denote the length of the missing leg as x.
According to the Pythagorean theorem, we have:
12^2 + x^2 = 16^2
144 + x^2 = 256
Subtracting 144 from both sides gives:
x^2 = 256 - 144
x^2 = 112
To solve for x, we take the square root of both sides:
x = √112
x ≈ 10.6
Therefore, the length of the other leg of the right triangle is approximately 10.6 units.
To find the length of the other leg of a 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 other two sides.
Let's denote the length of the other leg as 'x'. According to the given information:
Leg 1 = 12
Hypotenuse = 16
Using the Pythagorean Theorem, we have the equation:
12^2 + x^2 = 16^2
Simplifying this equation:
144 + x^2 = 256
Now, let's isolate x^2:
x^2 = 256 - 144
x^2 = 112
To find the length of the other leg 'x', we need to take the square root of both sides:
x = √112
Using a calculator, we can find the approximate value of √112 as 10.6.
Therefore, the length of the other leg, rounded to the nearest tenth, is approximately 10.6.