Question

Calculate the perimeter ,area of equilater triangle having sides of 20cm

Answer 1

Answer:

Perimeter = 60 cm

Area = 173.2 cm^2

Step-by-step explanation:

Perimeter = sum of all the sides

=> 20+20+20

=> 60cm

Area =

$\frac{ \sqrt{3} {(side)}^{2} }{4} \\ = > \frac{ \sqrt{3} \times {(20)}^{2} }{4} \\ = > 100 \sqrt{3} \\ = > 100 \times 1.732 \\ = > 173.2 {cm}^{2}$

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Answer 2

$\Large{\underline{\underline{\mathfrak{\bf{\red{Question}}}}}}$

Calculate the perimeter ,area of equilater triangle having sides of 20cm

$\Large{\underline{\underline{\mathfrak{\bf{\red{Solution}}}}}}$

$\Large{\underline{\mathfrak{\bf{\orange{Given}}}}}$

• Side of equilateral triangle = 20 cm

tex]

$\Large{\underline{\mathfrak{\bf{\orange{Find}}}}}$

• Perimeter & Area of equilateral triangle

$\Large{\underline{\underline{\mathfrak{\bf{\red{Explanation}}}}}}$

Using Formula

$\small\boxed{\tt{\green{\:Area_{equilateral\:triangle}\:=\:\dfrac{\sqrt{3}\times(Side)^2}{4}}}}$

$\small\boxed{\tt{\green{\:perimeter_{equilateral\:triangle}\:=\:Sum\:of\:all\:Side}}}$

So, First calculate perimeter

➥ perimeter of equilateral triangle = 20 + 20 + 20

➥ perimeter of equilateral triangle = 60 cm

Now, Calculate area

➥ Area of equilateral triangle = √3 * (20)²/4

➥ Area of equilateral triangle = √3 * 20 * 20/4

➥ Area of equilateral triangle = √3 * 5 * 20

➥ Area of equilateral triangle = 100√3 cm²

$\Large{\underline{\underline{\mathfrak{\bf{\red{Hence}}}}}}$

• Perimeter of equilateral triangle be = 60 cm
• Area of equilateral triangle = 100√3 cm²

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