In ΔABC, D and E are points on the sides AB and AC respectively such that DE || BC If AD = 6 cm, DB = 9 cm and AE = 8 cm, find AC.

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asked Feb 10, 2018 in Mathematics by sforrest072 (157,439 points) 60 409 933
edited Mar 5, 2018 by faiz
In ΔABC, D and E are points on the sides AB and AC respectively such that DE || BC
If AD = 6 cm, DB = 9 cm and AE = 8 cm, find AC.

1 Answer

+1 vote
answered Feb 10, 2018 by mdsamim (213,225 points) 5 10 15
selected Feb 10, 2018 by sforrest072
 
Best answer

Therefore, by basic proportionally theorem,

Now, AC = AE + EC = 8 + 12 = 20 cm
∴ AC = 20 cm

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