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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)
Answers
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)
The hexagon is formed from 6 equilateral triangle . The triangle been equilateral forming regular hexagon have equal areas in the given problem to determine the expression based on the areas of a triangle factor out 6 from the given expression this gives 6(4a2-3).
Some other knowledge :)
- Symbol of triangle = ∆
- There are three type of triangles.
Type of triangles with their definition -
(1). Equilateral triangles - The triangle having all 3 equal sides are known as Equilateral triangle.
(2). Isoscles triangle - The triangle having 2 equal sides is known to be Isoscles triangle.
(3). Scalene triangle - The triangle having all unequal triangle is known as Scalene triangle.
What is hexagon ?
The polygon having 6 sides is known as Hexagon.
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Answer:
Help asap bein timed!
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)