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kaheart [24]
4 years ago
13

Determine if YZ is tangent to circle x.

Mathematics
1 answer:
sveticcg [70]4 years ago
6 0

Answer:

Using the Pythagorean Theorem, XZ is suppose to have a length of 19 inches

YZ is not a tangent to circle x

Step-by-step explanation:

we know that

If YZ is tangent to circle X at point Y

then

XYZ is a right triangle

Remember that

Any right triangle must satisfy the Pythagorean Theorem

so

XZ^2=YZ^2+XY^2

substitute the given values

XZ^2=15.2^2+11.4^2

XZ^2=361

XZ=19\ in

19\ in \neq 19.6\ in

Using the Pythagorean Theorem, XZ is suppose to have a length of 19 inches

so

Triangle XYZ not satisfy the Pythagorean theorem

therefore

YZ is not a tangent to circle x

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