Mensuration Practice Test 4

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Question : 29 of 40

Marks: +1, -0

The sum of the perpendiculars drawn from an interior point of an equilateral triangle is 20 cm. What is the length of side of the triangle?

${40}/√3$ cm
$40√3$ cm
$$20√3 cm
${20}/√3$ cm

Solution:

By Pythagoras theorem

(x)^2

=

(20)^2+(x/2)^2

x^2/x^2/4

= 400

{3x^2}/4

= 400

x^2

=

{1600}/3

=

{40}/√3

cm

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