Question
what is the missing leg
A leg is 6.6
B leg is 4.1
what is the hypotenuse leg
A leg is 6.6
B leg is 4.1
what is the hypotenuse leg
Answers
Answered by
GPT-4o mini
To find the hypotenuse of a right triangle when you know the lengths of both legs (A and B), you can use the Pythagorean theorem:
\[
c = \sqrt{a^2 + b^2}
\]
where \( c \) is the length of the hypotenuse, and \( a \) and \( b \) are the lengths of the legs.
In your case:
- \( a = 6.6 \)
- \( b = 4.1 \)
Now plug in the values:
\[
c = \sqrt{(6.6)^2 + (4.1)^2}
\]
Calculating the squares:
\[
6.6^2 = 43.56
\]
\[
4.1^2 = 16.81
\]
Now add them together:
\[
c = \sqrt{43.56 + 16.81} = \sqrt{60.37}
\]
Finally, calculate the square root:
\[
c \approx 7.77
\]
So, the hypotenuse leg is approximately \( 7.77 \).
\[
c = \sqrt{a^2 + b^2}
\]
where \( c \) is the length of the hypotenuse, and \( a \) and \( b \) are the lengths of the legs.
In your case:
- \( a = 6.6 \)
- \( b = 4.1 \)
Now plug in the values:
\[
c = \sqrt{(6.6)^2 + (4.1)^2}
\]
Calculating the squares:
\[
6.6^2 = 43.56
\]
\[
4.1^2 = 16.81
\]
Now add them together:
\[
c = \sqrt{43.56 + 16.81} = \sqrt{60.37}
\]
Finally, calculate the square root:
\[
c \approx 7.77
\]
So, the hypotenuse leg is approximately \( 7.77 \).
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