Respuesta :

sylvain96

Answer:

[tex]\sqrt{8^{2} + 3^{2} }[/tex]

Step-by-step explanation:

We see that this is a rectangle triangle, and that the ZY side is the hypotenuse.

It's length is then square root of the sum of the squares of the other sides:

[tex]hyp = \sqrt{a^{2} + b^{2} }[/tex]

So, in this case:

[tex]ZY = \sqrt{8^{2} + 3^{2} }[/tex]

The 8 and 3 numbers are easy to get from the graphic... and the order doesn't matter (8² + 3² = 3² + 8²).

That's an easy rule to remember.

I hope it helps.

kudzordzifrancis

Answer:

[tex]|ZY|=\sqrt{8^2+3^2}[/tex]

Step-by-step explanation:

ZY is the hypotenuse of triangle XZY.

The two shorter legs are;

YX=3 units

and

XZ=8 units.

According to the Pythagoras Theorem;

[tex]|ZY|^2=|XZ|^2+|YX|^2[/tex]

This implies that;

[tex]|ZY|^2=8^2+3^2[/tex]

We take the positive square root to obtain;

[tex]|ZY|=\sqrt{8^2+3^2}[/tex]

The second choice is correct

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