Question

15

?

3

Apply the Pythagorean Theorem to find the unknown side length in the given triangle. Round your answer to the nearest fenth

(1 point)

0216

0234

14.7

15.3

Answer 1

To apply the Pythagorean Theorem, we use the formula:

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

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

From your question, it seems like the lengths you provided might be:

- One side (let's assume \( a \)) = 3
- The hypotenuse (\( c \)) = 15
- The other side (\( b \)) is unknown.

We can set up the equation as follows:

\[
3^2 + b^2 = 15^2
\]

Calculating the squares:

\[
9 + b^2 = 225
\]

Now, subtract 9 from both sides:

\[
b^2 = 225 - 9
\]
\[
b^2 = 216
\]

Now, to find \( b \), take the square root of 216:

\[
b = \sqrt{216} \approx 14.7
\]

Thus, rounding to the nearest tenth, the length of the unknown side is approximately **14.7**.

So the correct answer is **14.7**.