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(dumb it down a lot and make it seem like an 8th grader wrote it. also only do 2 sentences)

An image of similar triangles is shown. Use the image to answer the questions.

a triangle GEH with side GE labeled 10, side EH labeled 6, and side GH labeled 8 and a second triangle DEF with side DF labeled 12

Part A: Find the length of side FE. Show each step of your work. (2 points)

Part B: Find the length of side DE. Show each step of your work. (2 points)

1 answer

Part A: To find the length of side FE, we can set up a ratio using the similar triangles. Since triangle GEH and triangle DEF are similar, we have 10/12 = 6/FE, which means FE is 7.2.

Part B: To find the length of side DE, we use the same ratio. Since triangle GEH and triangle DEF are similar, we can set it up as 10/12 = 8/DE, and that makes DE equal to 9.6.