Answer:
a. FG ≈ 6.983 cm
b. FH = 13.16 cm
Explanation:
a)
Corresponding sides of similar triangles are proportional. This means ...
FG/GH = CD/DE
FG = GH(CD/DE) = (9.4 cm)(2.6/3.5) . . . . . . multiply by GH; fill in values
FG ≈ 6.983 cm
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b)
And ...
FH/GH = CE/DE
FH = GH(CE/DE) = (9.4 cm)(4.9/3.5)
FH = 13.16 cm
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Additional comment
Corresponding vertices are listed in the same order in the similarity statements. This means, for example, segment FG (which names the first two vertices in the name of ΔFGH) will correspond to segment CD (which names the first two vertices of ΔCDE).