SOLUTION: 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?

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Question 1181049: 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):
You can put this solution on YOUR website!

%28Area+of+triangle+JKL%2Farea+of+triangle+JKL+%29+JK%5E2%2FGH%5E2
By property of ratios of areas of similar triangles
%2827%2Farea+of+triangle+JKL+%29=+JK%5E2%2FGH%5E2
%2827%2Farea+of+triangle+JKL+%29=+6%5E2%2F4%5E2
Area JKL = 4*27/9
Area JKL = 12 cm^2