SSC CPO SI and ASI 2013 Paper

Question : 106 of 200

Marks: +1, -0

If area of an equilateral triangle is a and height is b, then the value of

b^2/a

Solution:

(3) Let the length of each side of the equilateral triangle be s units.
Area is

a= {√{3}}/{4} s^{2}

and height will be

b= {√{3}}/{2} s

and hence,

{b^{2}}/{a}= { ( {\√{3}}/{2} s )^{2}}/{ {√{3}}/{4} s^{2}}=√{3}

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