SSC CGL Tier II 25 Oct 2015 Paper 1

Question : 51 of 100

Marks: +1, -0

Given that the ratio of altitudes of two triangles is 4 : 5, ratio of their areas is 3 : 2. The ratio of their corresponding bases is

Solution:

(2) Area of triangle =

1/2

× base× height =

1/2×b×h

∴ According to the question,

{ {1}/{2} × b_{1} h_{1}}/{ {1}/{2} b_{2} h_{2}}= {3}/{2}

⇒{b_{1}}/{b_{2}} ×{4}/{5}= {3}/{2}

⇒{b_{1}}/{b_{2}}= {3}/{2} ×{5}/{4}= {15}/{8}

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