Use the image to answer the question. Apply the Pythagorean Theorem to find the unknown side length in the given triangle. Round your answer to the nearest tenth. (1 point) Responses 216 216 15.3 15.3 14.7 14.7 234 234 Skip to navigation

To apply the Pythagorean Theorem, we need the lengths of the two known sides of the right triangle. The theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). The formula is:

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

Since I can't see the image you're referring to, I can guide you through the process. If you provide the lengths of the two known sides, I can help you calculate the unknown side length.

If you know one of the sides (let's say \( a \)) and the hypotenuse \( c \), you can rearrange the formula to find the unknown side length \( b \):

\[ b = \sqrt{c^2 - a^2} \]

Please provide the side lengths or any other necessary information!

To find the unknown side length in the right triangle using the Pythagorean Theorem, we can set it up as follows:

1. Let's assume:
   • \( a = 3 \) (one of the legs)
   • \( b \) = unknown side length (the other leg)
   • \( c = 15 \) (the hypotenuse)

Using the Pythagorean theorem formula:

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

Substituting the known values:

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

Calculating the squares:

\[ 225 = 9 + b^2 \]

Now, subtract \( 9 \) from both sides to isolate \( b^2 \):

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

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

\[ b = \sqrt{216} \]

Calculating the square root:

\[ b \approx 14.7 \]

So, rounding to the nearest tenth, the unknown side length is approximately 14.7.