Using the Pythagorean theorem, we can find the length of the other leg:
a^2 + b^2 = c^2
where a and b are the legs of the right triangle, and c is the hypotenuse.
In this case, we know the hypotenuse (c) is 22, and one leg (a) is 11. Let's call the other leg (b) as the unknown length we need to find.
11^2 + b^2 = 22^2
121 + b^2 = 484
b^2 = 484 - 121
b^2 = 363
Taking the square root of both sides:
b ≈ √363
b ≈ 19.07
Therefore, the length of the other leg is approximately 19.07.
Triangle G HI 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.
3 answers
Incorrect
Apologies for the incorrect response.
To find the length of the other leg, we can use the Pythagorean theorem:
a^2 + b^2 = c^2
where a and b are the legs of the triangle, and c is the hypotenuse.
In this case, we know that one leg (a) is 11, and the hypotenuse (c) is 22. Let's call the other leg (b) as the unknown length we need to find.
Using the Pythagorean theorem, we can set up the following equation:
11^2 + b^2 = 22^2
121 + b^2 = 484
Subtracting 121 from both sides, we get:
b^2 = 363
Taking the square root of both sides gives:
b ≈ √363
b ≈ 19.05
Therefore, the length of the other leg is approximately 19.05.
To find the length of the other leg, we can use the Pythagorean theorem:
a^2 + b^2 = c^2
where a and b are the legs of the triangle, and c is the hypotenuse.
In this case, we know that one leg (a) is 11, and the hypotenuse (c) is 22. Let's call the other leg (b) as the unknown length we need to find.
Using the Pythagorean theorem, we can set up the following equation:
11^2 + b^2 = 22^2
121 + b^2 = 484
Subtracting 121 from both sides, we get:
b^2 = 363
Taking the square root of both sides gives:
b ≈ √363
b ≈ 19.05
Therefore, the length of the other leg is approximately 19.05.