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DanielleElmas [232]
3 years ago
6

Is YZ tangent to circle x

Mathematics
1 answer:
inna [77]3 years ago
4 0

<u>Given:</u>

The radius of the circle XY is XY = 11.4 in

The length of ZY is 15.2 in

The length of XZ is 19.6 in

We need to determine whether YZ is a tangent to the circle X.

<u>Is YZ tangent to the circle X:</u>

We shall determine whether YZ is a tangent to the circle X by using the Pythagorean theorem.

Thus, we have;

XZ^2=XY^2+YZ^2

Substituting the values, we have;

(19.6)^2=(11.4)^2+(15.2)^2

Simplifying, we get;

384.16=129.96+231.04

384.16\neq 361

Since, both sides of the equation are not equal, thus, YZ is not a tangent to the circle X.

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