# To determine: The value of segment HF Given information: The following information has been given EH=7 HG=3

To determine: The value of segment HF
Given information:
The following information has been given
EH=7
HG=3
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broliY
Formula used:
The ratio of sides is same for similar triangles
Calculation:
We know that in similar triangles HFE and HGF,
$\frac{HF}{HG}=\frac{FE}{GF}=\frac{HE}{HF}$(by law of similarity)
Hence, we substitute the value of EH and HG in the equation above , we get
$H{F}^{2}=HE\left(HG\right)$
Thus, we get
$HF=\sqrt{21}$