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)
it’s 19.05
Using the Pythagorean theorem, we can find the length of the other leg.
Let the length of the other leg be represented by x.
According to the Pythagorean theorem, in a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.
Therefore, we have:
11^2 + x^2 = 22^2
121 + x^2 = 484
x^2 = 484 - 121
x^2 = 363
x = √363
x ≈ 19.04 (rounded to two decimal places)
Therefore, the length of the other leg is approximately 19.04 units.
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's denote the length of the other leg as "x".
Using the Pythagorean Theorem, we can write the equation:
(11)^2 + (x)^2 = (22)^2
Expanding this equation, we get:
121 + x^2 = 484
Now, we can solve for "x" by subtracting 121 from both sides:
x^2 = 484 - 121
x^2 = 363
To find the value of "x", we take the square root of both sides:
√x^2 = √363
x = √363
Rounding this value to two decimal places, the length of the other leg is approximately 19.07.
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 length of the hypotenuse is equal to the sum of the squares of the lengths of the other two legs.
Let's assume the length of the other leg is x.
Using the Pythagorean theorem, we can set up the equation:
11^2 + x^2 = 22^2
Simplifying this equation:
121 + x^2 = 484
Now, let's isolate x^2:
x^2 = 484 - 121
x^2 = 363
To find the value of x, we take the square root of both sides:
x = √363
Calculating the square root of 363, we get:
x ≈ 19.07 (rounded to two decimal places)
Therefore, the length of the other leg is approximately 19.07 units.