A problem by Dhruv Singh

Level pending

In a ABC,AD is the bisector of BAC , If AB=6cm , AC=5cm and BD=3, then DC=

3.5 cm 2.5 cm 11.3 cm 0cm

Dhruv Singh by Dhruv Singh , 19, India

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1 solution

Note: The diagram is not drawn to scale.

By the angle bisector theorem , we have

D C D B = A C A B \dfrac{DC}{DB}=\dfrac{AC}{AB}

C D 3 = 5 6 \dfrac{CD}{3}=\dfrac{5}{6}

C D = 15 6 = 2.5 c m CD=\dfrac{15}{6}=\boxed{2.5~cm}

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