Use the distance formula to find the value of the side lengths.
d=√((x1-x2)²+(y1-y2)²

d of side AC is 6

d of side CB is 10

Angela's use of the Pythagorean Theorem of 10²+6²+c² is incorrect; she put the right values in the wrong spots, the formula needed is:
6²+10²=c²

Option C- Angelica's side lengths were too long.

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3 years ago

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Given: Circle k(O) Diameter <br><br>XY tangent WZ, XY = 10, and WZ = 12 .Find: YZ

PtichkaEL [24]

Answer:

<h2>Side YZ is 8 units long.</h2>

Step-by-step explanation:

We can deduct form the graph that segment WO is a radius of the circle and XY is its diameters.

By given, we know that $XY = 10$ , which means $WO=\frac{XY}{2}=\frac{10}{2}=5$ , by radius definition.

An important characteristic of tangents about circles is that the tangent is always is perpendicular to the radius, that means $\angle OWZ = 90\°\\$ and $\triangle OWZ$ is a right triangle, that means we can use Pythagorean's Theorem to find the side YZ.