Question

What is the maximum number of equilateral triangles of side 3 cm that can be fitted in a large equilateral triangle with length 11.2 cm?

Answer 1

13.94 i.e 13 equilateral triangles of side 3cm can be fitted into a large equilateral triangle of side 11.2 cm

Answer 2

At first

a=3

area of equilateral triangle= √3/4(side)²

=√3/4(3)²

Now,again

A=11.2cm

Area of equilateral triangle= √3/4(side)²

√3/4(11.2)²

Areaofequilateraltriangle= √3/4 (side)²

= √3/4(11.2)²

Now,

No.of maximum number of equlateral triangles=√3/4×11.2×11.2/√3/43×3

= 11.2×11.2/3×3

=125.44/9

=13.93∼14

Hence, the number of maximum equlateral triangle=13