Mensuration Practice Test 9

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Question : 38 of 40

Marks: +1, -0

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

b^2/a

is :

$1/3$
$√3$
$1/√3$
3

Solution:

Area of the equilateral triangle = a =

√3/4 a^2

Altitude of the equilateral triangle b =

{a√3}/2

value of

b^2/a

=

({a√3}/2)^2/{√3/4 a^2}

{a^3 3}/{4} × 4/{√3a^2}

=

√3

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