SOLUTION: 1. βˆ†πΊπ»πΌ β‰ˆ βˆ†π½πΎπΏ, with GH = 4cm, JK = 6cm. If the area of JKL = 27cm2 what is the area of GHI?

Algebra ->  Triangles -> SOLUTION: 1. βˆ†πΊπ»πΌ β‰ˆ βˆ†π½πΎπΏ, with GH = 4cm, JK = 6cm. If the area of JKL = 27cm2 what is the area of GHI?       Log On


   

Question 1181313: 1. βˆ†πΊπ»πΌ β‰ˆ βˆ†π½πΎπΏ, with GH = 4cm, JK = 6cm. If the area of JKL = 27cm2 what is the area of GHI?

Answer by mananth(16946) About Me  (Show Source):
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Since the triangles are similar the ratios of their areas are = ratio of squares of corresponding sides
Area GHI/Area JKL = 4^2/6^2
Area of GHI= 16*27/36 = 12 cm^2