Mensuration Practice Test 5

Question : 30 of 40

Marks: +1, -0

The three perpendicular distances of three sides of an equilateral triangle from a point which lies inside that triangle are 6 cm. 9 cm and 12 cm respectively. The perimeter of the triangle is:

$42 √2$ cm
$45 √2$ cm
$52 √2$ cm
$54√3$ cm

Validate

Solution:

Area of each triangle formed inside the equilateral triangle
=

1/2 ×6×S

1/2 × 9 × S

1/2 × 1 × S

So, total area =

1/2 × 27 × S

Area of an equilateral triangle =

{√3(S)^2}/4

{√3 (S)^2}/4

{27S}/2

S (side) =

18√3

Perimeter = 3

(18√3)

54√3

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