Question

Show that the triangles are similar by comparing the ratios of the corresponding sides. Simplify your answer completely in order to be able to compare the ratios of the corresponding sides. Please help

Answer 1

Answer/Step-by-step explanation:

AC = 1.2

AB = 4

BC = 2.6

DF = 3

DE = 10

EF = 6.5

Thus:

$\frac{DE}{AB} = \frac{10}{4} = \frac{5}{2}$

$\frac{DF}{AC} = \frac{3}{1.2} = \frac{3*10}{1.2*10} = \frac{30}{12} = \frac{5}{2}$

$\frac{EF}{BC} = \frac{6.5}{2.6} = \frac{6.5*10}{2.6*10} = \frac{65}{26} = \frac{5}{2}$

The ratio of their corresponding sides are all equal to ⁵/2. Therefore, both triangles are similar.