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Given the circle below secant kjI and tangent hi find the length of hi round to the nearest tenth if necessary.



Given The Circle Below Secant KjI And Tangent Hi Find The Length Of Hi Round To The Nearest Tenth If Necessary class=

Sagot :

The length of the segment HI in the figure is 32.9

How to determine the length HI?

To do this, we make use of the following secant-tangent equation:

HI² = KI * JI

From the figure, we have:

KI = 21 + 24 = 45

JI = 24

So, we have:

HI² = 45 * 24

Evaluate the product

HI² = 1080

Take the square root of both sides

HI = 32.9

Hence, the length of the segment HI is 32.9

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