Symbiosis National Aptitude Test SNAP 2017 Paper

Question : 30 of 150

Marks: +1, -0

In ΔABC, D is a point on BC such that 3BD = BC. If each side of the triangle is 12 cm, then AD equals

Solution:

Here AB = AC = BC = 12 cm.
Let AE ⊥ BC, then BE = 6 cm,
AE =

√{(AB)^2-(BE)^2}

√{144-36}

√{108}

BD = 4 cm, DE = 6 - 4 = 2 cm.
AD =

√{(AE)^2+(DE)^2}

√{(√{108})^2+(2)^2}

√{108+4}

√{112}

4√7

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