Q4 of 186 Page 184

In a ΔABC, AD is the bisector of ∠A.


If AB = 6.4 cm, AC = 8 cm and BD = 5.6 cm, find DC.

Given: AB = 6.4 cm, AC = 8 cm and BD = 5.6 cm

Since AD bisects ∠A, we can apply angle-bisector theorem in ∆ABC,



Substituting given values, we get



⇒


⇒ DC = 7


Thus, DC is 7 cm.


More from this chapter

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3

D and E are points on the sides AB and AC respectively of a ΔABC. In each of the following cases, determine whether DE || BC or not.


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 3

D and E are points on the sides AB and AC respectively of a ΔABC. In each of the following cases, determine whether DE || BC or not.


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In a ΔABC, AD is the bisector of ∠A.


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In a ΔABC, AD is the bisector of ∠A.


If AB = 5.6 cm, BD = 3.2 cm and BC = 6 cm, find AC.