Question

Any answers?? 25 points

Answer 1

Answer:

58

Step-by-step 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

Answer:

$C=\sqrt{58}$

Step-by-step 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:

$hypotenuse=\sqrt{leg_1^2+leg_2^2}$

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

$hypotenuse=\sqrt{leg_1^2+leg_2^2}\\C=\sqrt{3^2+7^2}\\\\C=\sqrt{9+49} \\C=\sqrt{58}$