Write the sequence of the perimeters of the equilateral triangles havi

1.	Write the sequence of the perimeters of the equilateral triangles having sides 1cm, 2cm, 3cm. a. Write the sequence of area b. Write the sequence of sum of angles.
Answer» ’If we Increase 1 cm of sides of an equilateral triangle having sides 1cm, 2cm, 3cm. a. Area =1 cm², Area after increasing sides by 1 cm \(\frac{\sqrt{3}\times2^2}{4}=\sqrt{3}\) cm² Area after increasing the length of side 2cm by V³x3² = 9V³ , 1cm = \(\frac{\sqrt{3}\times3^2}{4}=\frac{9\sqrt{3}}{4}\) cm2 Area after increasing thelength of side 3cm by 1cm = \(\frac{\sqrt{3}\times4^2}{4}=\frac{16\sqrt{3}}{4}=4\sqrt{3}\) cm² Sequence of area = \(\sqrt{3},\frac{9\sqrt{3}}{4},4\sqrt{3}\) c. The sum of angles of a triangle will be 180° always for any measures of sides. Sequence of sum of angles 180, 180, 180,……..

Write the sequence of the perimeters of the equilateral triangles having sides 1cm, 2cm, 3cm. a. Write the sequence of area b. Write the sequence of sum of angles.

Answer»

’If we Increase 1 cm of sides of an equilateral triangle having sides 1cm, 2cm, 3cm.

a. Area =1 cm², Area after increasing sides by 1 cm \(\frac{\sqrt{3}\times2^2}{4}=\sqrt{3}\) cm²

Area after increasing the length of side 2cm by V³x3² = 9V³ ,

1cm = \(\frac{\sqrt{3}\times3^2}{4}=\frac{9\sqrt{3}}{4}\) cm2

Area after increasing thelength of side 3cm by

1cm = \(\frac{\sqrt{3}\times4^2}{4}=\frac{16\sqrt{3}}{4}=4\sqrt{3}\) cm²

Sequence of area = \(\sqrt{3},\frac{9\sqrt{3}}{4},4\sqrt{3}\)

c. The sum of angles of a triangle will be 180° always for any measures of sides. Sequence of sum of angles 180, 180, 180,……..

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