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If these triangles are similar, what is the length of side DF?

A) 3 u
B) 2.4 u
C) 2 u
D)5/3 u

If these triangles are similar, what is the length of side DF? A) 3 u B) 2.4 u C) 2 u-example-1

2 Answers

2 votes

Answer:

B

Explanation:

User Matvey
by
8.2k points
4 votes
Triangles are similar, so:


(|AB|)/(|DE|)=(|AC|)/(|DF|)\\\\\\(2,5)/(1,5)=(4)/(|DF|)\\\\\\ 2,5\cdot|DF|=1,5\cdot4\quad|:2,5\\\\\\|DF|=(1,5\cdot4)/(2,5)=(6)/(2,5)=(6)/(2,5)\cdot(4)/(4)=(24)/(10)=2(4)/(10)=\boxed{2,4\,u\qquad[\text{B}]}
User Ejectamenta
by
8.8k points

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