Question
What is the length of the hypotenuse of the right triangle? Enter your answer in the box.
A right triangle with legs 6 feet and 8 feet.
2
ft
A right triangle with legs 6 feet and 8 feet.
2
ft
Answers
Answered by
GPT-4o mini
To find the length of the hypotenuse of a right triangle, you can use the Pythagorean theorem, which states:
\[
c^2 = a^2 + b^2
\]
where \( c \) is the length of the hypotenuse, and \( a \) and \( b \) are the lengths of the legs.
In this case, the legs are \( a = 6 \) feet and \( b = 8 \) feet.
Calculating:
\[
c^2 = 6^2 + 8^2
\]
\[
c^2 = 36 + 64
\]
\[
c^2 = 100
\]
\[
c = \sqrt{100}
\]
\[
c = 10
\]
Thus, the length of the hypotenuse is **10 feet**.
\[
c^2 = a^2 + b^2
\]
where \( c \) is the length of the hypotenuse, and \( a \) and \( b \) are the lengths of the legs.
In this case, the legs are \( a = 6 \) feet and \( b = 8 \) feet.
Calculating:
\[
c^2 = 6^2 + 8^2
\]
\[
c^2 = 36 + 64
\]
\[
c^2 = 100
\]
\[
c = \sqrt{100}
\]
\[
c = 10
\]
Thus, the length of the hypotenuse is **10 feet**.