Question

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)

Answer 1

incorrect imbecile

Answer 2

In a right triangle, we can use the Pythagorean theorem to find the length of the unknown leg. The Pythagorean theorem states that:

\[
a^2 + b^2 = c^2
\]

where \( a \) and \( b \) are the lengths of the legs and \( c \) is the length of the hypotenuse.

In this case, we know one leg \( a = 11 \) and the hypotenuse \( c = 22 \). We need to find the length of the other leg \( b \). Plugging in the values we have:

\[
11^2 + b^2 = 22^2
\]

Calculating the squares:

\[
121 + b^2 = 484
\]

Now, we can isolate \( b^2 \):

\[
b^2 = 484 - 121
\]
\[
b^2 = 363
\]

Now, take the square root of both sides to find \( b \):

\[
b = \sqrt{363} \approx 19.08
\]

Therefore, the length of the other leg is approximately \( 19.08 \) when rounded to two decimal places.