Question

1. The side of an equilateral triangle is 12 cm. Find its area.
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Answer 1

Answer:

area of equilateral triangle=√3/4×a²=√3/4×12×12=36√3cm³ is the right answer.

Answer 2

Given :

• Shape = Equilateral triangle
• Side of Equilateral triangle = 12cm

To Find :

• Area of the Equilateral triangle

Solution :

⠀⟶⠀Area = √3/4 × (side)²

⠀⟶⠀Area = √3/4 × (12)²

⠀⟶⠀Area = √3/4 × 144

⠀⟶⠀Area = √3 × 36

⠀⟶⠀Area = 1.73205081 × 36

⠀⟶⠀Area = 1.73 × 36

⠀⟶⠀Area = 62.28cm²

∴ Area of Equilateral triangle = 62.28cm²

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Knowledge Bank :

• A triangle has four vertices
• A triangle has three edges
• A triangle has three sides
• A triangle has three angles
• The sum of angle of a triangle is equal to 180⁰
• Perimeter of triangle = Sum of all sides
• Area of triangle = 1/2 × base × height
• Area of triangle (heron's formula) = √s(s- a) (s - b) (s -c)
• Semi perimeter of triangle = a+b+c/2
• Triangle is closed and 2D shape
• Equilateral triangle, scalene triangle and isosceles triangle are different types of triangles according to their sides
• Acute triangle, right triangle and obtuse triangle are different types of triangles according to their angles
• A triangle is also a polygon

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