# Similarity

ABC is a triangle wherein a = 4 cm, b = 6 cm, c = 8 cm. Is it similar to the triangle DEF: d = 3 cm, e = 4.5 cm, f = 6 cm?
If so, determine the ratio of similarity.

Result

k =  0.75

#### Solution:

$k_1 = 3/4 = 0.75 \ \\ k_2 = 4.5/6 = 3/4 = 0.75 \ \\ k_3 = 6/8 = 3/4 = 0.75 \ \\ k = k_1 = k_2 = k_3 = 0.75$

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