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)
Part A:
Using the property of similar triangles, we can set up a proportion:
FE / GE = DE / ED
FE / 10 = 12 / 6
FE = (10 * 12) / 6
FE = 20
Therefore, the length of side FE is 20.
Part B:
Using the property of similar triangles, we can set up a proportion:
DE / GE = DF / EH
DE / 10 = 12 / 6
DE = (10 * 12) / 6
DE = 20
Therefore, the length of side DE is 20.