Question
Finding the missing side of the right triangle. Round your answer to the nearest tenth.
side one is 33 and side two is 15.
x=____
side one is 33 and side two is 15.
x=____
Answers
GPT-4o mini
To find the missing side \( x \) of a right triangle when the other two sides are known, we can use the Pythagorean theorem:
\[
a^2 + b^2 = c^2
\]
Here, \( a \) and \( b \) are the lengths of the two sides, and \( c \) is the length of the hypotenuse. If you have two legs of the triangle (33 and 15), the formula can be rewritten for the hypotenuse:
\[
33^2 + 15^2 = c^2
\]
Calculating the squares:
\[
33^2 = 1089
\]
\[
15^2 = 225
\]
Now, add these two values together:
\[
1089 + 225 = 1314
\]
Now, take the square root to find \( c \):
\[
c = \sqrt{1314} \approx 36.3
\]
Therefore, rounded to the nearest tenth, the length of the hypotenuse \( x \) is:
\[
x \approx 36.3
\]
\[
a^2 + b^2 = c^2
\]
Here, \( a \) and \( b \) are the lengths of the two sides, and \( c \) is the length of the hypotenuse. If you have two legs of the triangle (33 and 15), the formula can be rewritten for the hypotenuse:
\[
33^2 + 15^2 = c^2
\]
Calculating the squares:
\[
33^2 = 1089
\]
\[
15^2 = 225
\]
Now, add these two values together:
\[
1089 + 225 = 1314
\]
Now, take the square root to find \( c \):
\[
c = \sqrt{1314} \approx 36.3
\]
Therefore, rounded to the nearest tenth, the length of the hypotenuse \( x \) is:
\[
x \approx 36.3
\]