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Which expression can be used to determine the length of segment ZY? See image.

Which expression can be used to determine the length of segment ZY? See image.-example-1
User Intrepidus
by
7.7k points

2 Answers

4 votes

Answer:


|ZY|=√(8^2+3^2)

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;


|ZY|^2=|XZ|^2+|YX|^2

This implies that;


|ZY|^2=8^2+3^2

We take the positive square root to obtain;


|ZY|=√(8^2+3^2)

The second choice is correct

User Plastikfan
by
8.6k points
4 votes

Answer:


\sqrt{8^(2) + 3^(2) }

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:


hyp = \sqrt{a^(2) + b^(2) }

So, in this case:


ZY = \sqrt{8^(2) + 3^(2) }

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.

User Fernando Vezzali
by
9.5k points

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