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