Respuesta :

mberisso

Answer:

[tex]C=\sqrt{58}[/tex]

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:

[tex]hypotenuse=\sqrt{leg_1^2+leg_2^2}[/tex]

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

[tex]hypotenuse=\sqrt{leg_1^2+leg_2^2}\\C=\sqrt{3^2+7^2}\\\\C=\sqrt{9+49} \\C=\sqrt{58}[/tex]

rezerus

Answer:

58

Step-by-step explanation:

The  Pythogoren Theorem is [tex]a^{2} +b^{2} = c^{2}[/tex]. 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  [tex]a^{2}[/tex]  and the seven for b squared (square them both and add them together).

[tex]3^{2} + 7^{2} = c^{2}[/tex]

That gives you 58, which is [tex]c^{2}[/tex] the number that should go beneath the "radical", which is there to "unsquare" the square root, or remove the little two.

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