Answer:
Explanation:
Given similar triangles DEF and GHF, and side lengths DE = 6, EF = 10, GH = 21, FG = 28, you want the lengths of y=FH and x=FD.
Proportion
Corresponding sides of similar triangles are proportional. This means ...
DE/GH = EF/HF = FD/FG
6/21 = 10/y = x/28
We can multiply by 28 to solve for x:
x = 28(6/21) = 8
Multiplying by 21y/6 will give the value of y:
y = (21/6)(10) = 35
The values of x and y are 8 and 35, respectively.
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Additional comment
These are both 3-4-5 right triangles. The smaller is multiplied by 2; the larger is multiplied by 7 to give 6-8-10 and 21-28-35 triangles.