Respuesta :

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

Read more about secant and tangent lines at:

https://brainly.com/question/14962681

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