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)
whats the answer
To find the length of the other leg of the right triangle GHI, 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 two legs.
In this case, we are given that the length of one leg (let's call it a) is 11 and the hypotenuse (c) is 22. We need to find the length of the other leg (let's call it b).
The Pythagorean theorem equation is: a^2 + b^2 = c^2
Plugging in the given values, we have: 11^2 + b^2 = 22^2
Simplifying further: 121 + b^2 = 484
Subtracting 121 from both sides of the equation: b^2 = 484 - 121
b^2 = 363
To find the value of b, we need to take the square root of both sides of the equation: sqrt(b^2) = sqrt(363)
b = sqrt(363)
Calculating the square root of 363, we find that b ≈ 19.07 (rounded to two decimal places).
Therefore, the length of the other leg of the right triangle GHI is approximately 19.07.