Question

if a square plus b square c lets say a square is 20 and so is b how is c 28.28?

Answer 1

if a square plus b square c lets say a square is 20 and so is b how is c 28.28 using hypotenuse?

Answer 2

It seems you're asking about a relationship involving \( a^2 + b^2 = c \). However, if \( a^2 = 20 \) and \( b^2 = 20 \), we can add them together to find \( c \).

1. First, we calculate \( a^2 + b^2 \):
\[
a^2 + b^2 = 20 + 20 = 40
\]

2. If we are looking for \( c \), we get:
\[
c = a^2 + b^2 = 40
\]

It appears that \( c \) should be 40, not 28.28.

If you meant \( c \) to be derived from some calculation involving the square roots of \( a^2 \) and \( b^2 \) or another relationship, please clarify so I can assist you further!

Answer 3

It sounds like you are referring to the Pythagorean theorem, which 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:

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

Given \( a^2 = 20 \) and \( b^2 = 20 \), we can find \( c \):

1. First, substitute into the Pythagorean theorem:
\[
c^2 = a^2 + b^2 = 20 + 20 = 40
\]

2. Now, take the square root to find \( c \):
\[
c = \sqrt{40} = \sqrt{4 \cdot 10} = 2\sqrt{10}
\]

To express \( \sqrt{10} \) numerically, we can use an approximate value:
\[
\sqrt{10} \approx 3.162
\]
Thus,
\[
c \approx 2 \cdot 3.162 \approx 6.324
\]

So, if \( c \) is indeed the hypotenuse calculated from the squares of the two sides being both 20, then \( c \approx 6.324\).

If there’s a specific calculation or context in which you've derived 28.28, please share, and I'd be happy to help clarify!