Question 75

In ΔABC, D and E are points on sides AB and AC respectively such that DE || BC and AD : DB = 3 : 1. If EA = 3.3 cm, then find the value of AC.
Latek

Solution

given that $$ \frac{AD}{BD} = \frac{3}{1} $$

In $$ \triangle ABC $$

$$ \frac{AD}{BD} = \frac{AE}{EC} $$

$$ \frac{3}{1} = \frac{3.3}{EC} $$

solving EC = 1.1

now AC = AE + EC

AC = 3.3 + 1.1 = 4.4 cm

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