Question

Any answers?? 25 points

Answer 1

58

Explanation:

The Pythogoren Theorem is
`a^(2) +b^(2) = c^(2)`. That will help you figure out the mystery side of the triangle that's the white space between the green squares.

You already know the "a" and "b" sides - the 3 and 7. All you have to do is put in the 3 in for
`a^(2)` and the seven for b squared (square them both and add them together).

`3^(2) + 7^(2) = c^(2)`

That gives you 58, which is
`c^(2)` the number that should go beneath the "radical", which is there to "unsquare" the square root, or remove the little two.

Answer 2

`C=√(58)`

Explanation:

Notice that the value to be found (C) is the hypotenuse of a right angle triangle, therefore it can be obtained via the Pythagorean theorem:

`hypotenuse=√(leg_1^2+leg_2^2)`

In our case, the size of the legs of the triangle are given: "3" and "7", therefore:

`hypotenuse=√(leg_1^2+leg_2^2)\\C=√(3^2+7^2)\\\\C=√(9+49) \\C=√(58)`