Question 89

In ΔABC, the angle bisector of ∠A cuts BC at E. Find the length of AC if lengths of AB, BE and EC are 9.6 cm, 4 cm and 3 cm?

Solution

AE is the angle bisector and let AC = $$x$$ cm

Using angle bisector theorem,

=> $$\frac{AB}{BE} = \frac{AC}{CE}$$

=> $$\frac{9.6}{4} = \frac{x}{3}$$

=> $$x = 2.4 \times 3 = 7.2$$ cm

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