SOLUTION: trianlge abc is similiar to triangle def. Suppose a=3 b=6,c=7, and d=4 Find E and F? a/d =b/e =c/f 3/4 =6/8=7/f e=8 3/4=6/8=7/ f=9 1/3 3f=28 f=9 1/3 my ques

Question 191525: trianlge abc is similiar to triangle def. Suppose a=3 b=6,c=7, and d=4 Find E and F?
a/d =b/e =c/f

3/4 =6/8=7/f e=8

3/4=6/8=7/ f=9 1/3
3f=28
f=9 1/3
my question is can someone explain to me how my text book got the 9 1/3? full break down
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Since the triangles are similar, corresponding sides are in proportion. That means that the ratio of the shortest side of one of the triangles, namely a to the shortest side of the other triangle, d is the same as the ratio of b to e and c to f. Since we are given the measures of both of the short sides, we know that this ratio is

or better for our purposes:

Since all three ratios are equal, we can establish the proportion:

Cross-multiply, that is the numerator on the left times the denominator on the right is equal to the denominator on the left times the numerator on the right.

Solve for f.

28 divided by 3 is 9 with a remainder of 1, so:

John

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