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 poi
To find the length of the other leg of the right triangle, we can use the Pythagorean theorem:
c^2 = a^2 + b^2
where c is the length of the hypotenuse, and a and b are the lengths of the other two legs.
In this case, we have:
c = 22
a = 11
b = ? (the length of the other leg we want to find)
Plugging the values into the formula, we get:
22^2 = 11^2 + b^2
484 = 121 + b^2
b^2 = 484 - 121
b^2 = 363
Taking the square root of both sides, we get:
b = √363
b ≈ 19.07
Therefore, the length of the other leg of the right triangle is approximately 19.07.