find the area and height of and equilateral triangle whose each side measures 6.4m ( take √3 = 1.73 in each case)
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Answers
Given :-
- Equilateral triangle whose each side measures 6.4m ( take √3 = 1.73 in each case).
To Find :-
- Area & height of the equilateral triangle.
Solution :-
As we know that,
Height of equilateral Δ = √3/2 × side
[ Putting values ]
↪ Height of equilateral Δ = √3/2 × 6.4
↪ Height of equilateral Δ = √3 × 3.2
↪ Height of equilateral Δ = 1.73 × 3.2
↪ Height of equilateral Δ = 5.536 m.
Now, we know that,
Area of equilateral Δ = √3/4 × side²
[ Putting values ]
↪ Area of equilateral Δ = √3/4 × (6.4)²
↪ Area of equilateral Δ = √3/4 × 40.96
↪ Area of equilateral Δ = 1.73 × 10.24
↪ Area of equilateral Δ = 17.71152 m².
For information:
- Area of Δ = ¹/2 × base × height
- Area of square = (side)²
- Area of rectangle = Length × Base
- Area of rhombus = ¹/2 × d1 × d2
- Area of parallelogram = Base × Height
- Area of trapezium = ¹/2 × (a + b) × h
Answer:
find the area and height of and equilateral triangle whose each side measures 6.4m ( take √3 = 1.73 in each case)
- Height of equilateral traingle
- Area of equilateral traingle
Height of equilateral triangle = √3/2 × side
Height of equilateral triangle = √3/2 × 6.4 m
Height of equilateral triangle = √3 × 3.2
Height of equilateral traingle = 5.536 m
area of equilateral traingle = √3/4 × side²
area of equilateral traingle = √3/4 × (6.4²)
area of equilateral traingle = √3/4 × 40.96
area of equilateral traingle = 1.73 × 10.24