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jonny [76]
2 years ago
10

What is the length of segment FG?

Mathematics
2 answers:
Alenkinab [10]2 years ago
7 0

Answer:

D. 10.49

Step-by-step explanation:

(see attached for reference)

Here we have two right triangles formed by dividing a larger right triangle by the Altitude (height) of the larger right triangle.

In this special case, all 3 triangles (2 small and 1 large) are SIMILAR and hence we can use the ratios of similar triangles to solve this.

In our case, ΔGFE is similar to ΔGHF

hence FG/GE = GH/FG

We are given that GE = 10 and GH = 11, hence

FG/10 = 11/FG

FG² = (10)(11)

FG² = 110

FG = ±√110

FG= 10.49

stich3 [128]2 years ago
3 0

<em>the \: answer \: is \: 10.49 \\ please \: see \: the \: attached \: picture \\ for \: full \: solution \\ hope \: it \: helps</em>

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