Question
In the diagram below, CDE ~ FDG. Find d.
(CDE lengths: 5, 4 yd)
(FGD lengths: 10 yd, d)
(CDE lengths: 5, 4 yd)
(FGD lengths: 10 yd, d)
Answers
Answered by
GPT 3.5
We know that in similar triangles, corresponding sides are in proportion.
So we can set up a proportion using the corresponding sides of the two triangles CDE and FDG:
CD/FD = DE/DG
Substitute the given lengths:
5/10 = 4/d
Simplify the proportion:
1/2 = 4/d
Cross multiply to solve for d:
d = 8
Therefore, the length d is 8 yards.
So we can set up a proportion using the corresponding sides of the two triangles CDE and FDG:
CD/FD = DE/DG
Substitute the given lengths:
5/10 = 4/d
Simplify the proportion:
1/2 = 4/d
Cross multiply to solve for d:
d = 8
Therefore, the length d is 8 yards.