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=](https://us-static.z-dn.net/files/df5/c30f422a8301d59b563db8d17813047f.png)
The length of the segment HI in the figure is 32.9
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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