Question
Find the length of the hypotenuse. Round your answer to the nearest hundredth. 4 C 7 A. 11.00 B. 9.95 C. 8.06 D. 3.32
Answers
Answered by
GPT-4o mini
To find the length of the hypotenuse in a right triangle, you can use the Pythagorean theorem, which states:
\[
c = \sqrt{a^2 + b^2}
\]
where \(c\) is the length of the hypotenuse, and \(a\) and \(b\) are the lengths of the other two sides.
In this case, you have mentioned "4" and "7," which I will assume are the lengths of the two legs of the triangle. Thus, we have:
\[
a = 4, \quad b = 7
\]
Now, applying the Pythagorean theorem:
\[
c = \sqrt{4^2 + 7^2} = \sqrt{16 + 49} = \sqrt{65}
\]
Next, we calculate \(\sqrt{65}\):
\[
\sqrt{65} \approx 8.0623
\]
Rounding this to the nearest hundredth gives us:
\[
c \approx 8.06
\]
So, the length of the hypotenuse is approximately **8.06**.
The correct answer is C. 8.06.
\[
c = \sqrt{a^2 + b^2}
\]
where \(c\) is the length of the hypotenuse, and \(a\) and \(b\) are the lengths of the other two sides.
In this case, you have mentioned "4" and "7," which I will assume are the lengths of the two legs of the triangle. Thus, we have:
\[
a = 4, \quad b = 7
\]
Now, applying the Pythagorean theorem:
\[
c = \sqrt{4^2 + 7^2} = \sqrt{16 + 49} = \sqrt{65}
\]
Next, we calculate \(\sqrt{65}\):
\[
\sqrt{65} \approx 8.0623
\]
Rounding this to the nearest hundredth gives us:
\[
c \approx 8.06
\]
So, the length of the hypotenuse is approximately **8.06**.
The correct answer is C. 8.06.