What is the length of the unknown side of the right triangle?

(1 point)
Responses

7 ft.
7 ft.

21 ft.
21 ft.

147−−−√ ft.
147−−−√ ft.

14−−√ ft.
14−−√ ft.

1 answer

To determine the length of the unknown side of a right triangle, we typically use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two legs (the sides that are not the hypotenuse) is equal to the square of the length of the hypotenuse.

The theorem can be expressed as:

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

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

Since you haven't provided specific side lengths or additional context (like which side is unknown or the lengths of the other two sides), I cannot calculate the length of the unknown side directly. However, I can help you with the selection based on potential scenarios:

  1. If you know one leg and the hypotenuse, you can rearrange the formula to find the unknown leg.

  2. If you know both legs, you can find the hypotenuse.

Please provide the lengths of any known sides or indicate which side is unknown exactly, and I can assist you in calculating the unknown side.