Question

considerate equaleteral triangle having sides 1centimeter 2centimetre 3centimeter answer the sequence of area ​

Answer 1

Correct Question :

• Q.Consider an equilateral triangle having sides 1 Centimeter, 2centimetre, 3centimeter. Answer the sequence of area .

To Find :

• Sequence of area of the equilateral triangle .

Formula used :

$Area \: of \: equilateral \: triangle = \frac{ \sqrt{3} }{4}{a}^{2}$

Solution :

Case I,

When side of triangle, a = 1 cm

$Area \: = \frac{ \sqrt{3} }{4} {(1)}^{2} = \frac{ \sqrt{3} }{4} {cm}^{2}$

Case II,

When side of triangle, a = 2 cm

$Area \: = \frac{ \sqrt{3} }{4} {(2)}^{2} = \sqrt{3} \: {cm}^{2}$

Case III,

When side of triangle, a = 3 cm

$Area \: = \frac{ \sqrt{3} }{4} {(3)}^{2} = \frac{9 \sqrt{3} }{4} \: {cm}^{2}$

Therefore, the sequence of area of equilateral triangle are √3/4,√3 and 9√3/4 cm² respectively.