cecilia18 cecilia18

16-02-2020
Mathematics

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Points B, D, and F are midpoints of the sides of ΔACE.

If EC¯¯¯¯¯= 30 and DF¯¯¯¯¯ = 17, find AC¯¯¯¯¯

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sqdancefan sqdancefan

16-02-2020

Answer:

AC = 34

Step-by-step explanation:

DF is a "midsegment" of the triangle, so is half the length of parallel side AC.

AC = 2×17 = 34

_____

ΔACE ~ ΔFED with a scale factor of 2:1.

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