SOLUTION: Triangles ABC and DEF are similar. Find the perimeter of triangle DEF. (Assume b = 4 cm, c = 5 cm, d = 12 cm, and f = 10 cm.)

Algebra ->  Triangles -> SOLUTION: Triangles ABC and DEF are similar. Find the perimeter of triangle DEF. (Assume b = 4 cm, c = 5 cm, d = 12 cm, and f = 10 cm.)      Log On


   

Question 1139526: Triangles ABC and DEF are similar.
Find the perimeter of triangle DEF. (Assume b = 4 cm, c = 5 cm, d = 12 cm, and f = 10 cm.)
Answer by ikleyn(52776) About Me  (Show Source):
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The similarity coefficient "k" is the ratio of "f" to "c"   k = 10%2F5 = 2.


Hence, the side "e" is  e = k*b = 2*4 = 8.


Then the perimeter of triangle DEF is  d + e + f = 12 + 8 + 10 = 30 cm.   ANSWER

Solved.