Question

Finding the missing side of the right triangle. Round your answer to the nearest tenth. Click Here for Help Video.



222


131313

Answer 1

To find the missing side of a right triangle, we can use the Pythagorean theorem, which states:

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

where:
- \( c \) is the hypotenuse (the side opposite the right angle),
- \( a \) and \( b \) are the other two sides.

From your message, it seems like you might be providing two sides of the triangle, but it's unclear. If 222 is the length of one side and 1313 is the hypotenuse, we can set up the equation as follows:

1. Assuming \( a = 222 \) and \( c = 1313 \), we need to find \( b \):

\[
222^2 + b^2 = 1313^2
\]

Calculating \( 222^2 \) and \( 1313^2 \):

\[
222^2 = 49284
\]
\[
1313^2 = 1720569
\]

Now substituting back into the equation:

\[
49284 + b^2 = 1720569
\]

Now, subtract \( 49284 \) from both sides:

\[
b^2 = 1720569 - 49284
\]
\[
b^2 = 1671285
\]

Now take the square root to solve for \( b \):

\[
b = \sqrt{1671285} \approx 1294.6
\]

Rounding to the nearest tenth, the missing side \( b \) is approximately **1294.6**.

If those values are not correct, please clarify the specific sides of the triangle so I can assist you further!