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):
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.
