Triangle GHI is a right triangle. The length of one leg is 11 and the hypotenuse is 22. What is the length of the other leg? Round your answer to two decimal places.(1 point)
Using the Pythagorean theorem, we can solve for the length of the other leg. Let x be the length of the other leg. We have:
x^2 + 11^2 = 22^2
x^2 + 121 = 484
x^2 = 363
x ≈ 19.07
Therefore, the length of the other leg is approximately 19.07.
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 legs.
Let the length of the other leg be x.
According to the Pythagorean theorem:
x^2 + 11^2 = 22^2
Simplifying the equation, we get:
x^2 + 121 = 484
Subtracting 121 from both sides:
x^2 = 363
Taking the square root of both sides:
x = √363
Rounding to two decimal places, the length of the other leg is approximately 19.06.
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.
In this case, we are given that one leg is 11 and the hypotenuse is 22. Let's call the unknown length of the other leg "x".
Using the Pythagorean theorem, we have:
(11)^2 + x^2 = (22)^2
121 + x^2 = 484
To solve for x, we need to isolate x on one side of the equation. Let's subtract 121 from both sides:
x^2 = 484 - 121
x^2 = 363
To find the value of x, we need to take the square root of both sides:
√x^2 = √363
x = √363
Now, calculate the square root of 363 using a calculator or by using estimation techniques.
The square root of 363 is approximately 19.06.
Therefore, the length of the other leg is approximately 19.06 (rounded to two decimal places).