Six equilateral triangles are connected to create a regular hexagon. The area of the hexagon is 24a2 – 18 square units. Which is an equivalent expression for the area of the hexagon based on the area of a triangle? 6(4a2 – 3) 6(8a2 – 9) 6a(12a – 9) 6a(18a – 12)
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Answered by
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Area of the hexagon = 24a² - 18 (Given)
Hexagon is made up of 6 equilateral triangles
Therefore:
6 equilateral triangles = 24a² - 18
6 equilateral triangles = 6(4a² - 3)
Answer: 6(4a² - 3)
Answered by
7
according to question,
Six equilateral triangles are connected to create a regular hexagon.
The area of the hexagon is 24a² - 18 sq unit.
or, area of 6 triangles is 24a² - 18
or, area of 6 triangles is 6(4a² - 3)
so, 6 × area of a triangle = 6(4a² - 3)
area of a triangle = 4a² - 3
hence, area of a triangle is 4a² - 3
and we can write area of hexagon based on the area of a triangle is 6(4a² - 3)
Six equilateral triangles are connected to create a regular hexagon.
The area of the hexagon is 24a² - 18 sq unit.
or, area of 6 triangles is 24a² - 18
or, area of 6 triangles is 6(4a² - 3)
so, 6 × area of a triangle = 6(4a² - 3)
area of a triangle = 4a² - 3
hence, area of a triangle is 4a² - 3
and we can write area of hexagon based on the area of a triangle is 6(4a² - 3)
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