3. If the height of an equilateral triangle ABC is 5/ 3 cm. Let us write by calculating the area
of this triangle
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Given:
• Height of the equilateral triangle = 5/3 cm .
To find :
• The area of the triangle .
Solution:
• First find side :
As we know that:
• Height = √3/2 (side)
=> 5/3= √3/2 (side)
=> side = 10/3√3 cm
• Area of equilateral triangle = √3/4 (side)².
=> Area = √3/4(10/3√3)²
=> Area = √3/4(100/27)
=> Area = 25√3/27
=> Area = 43.30/27
=> Area = 1.60 cm².
Hence, the area of equilateral triangle is 1.60cm²
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