Mathematics, 23.04.2021 20:50 bellagracebulle8018
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Using the diagram of a regular hexagon, fill in the blanks for the steps to solve for the area of a hexagon with sides equal to 8 cm.
(1) How many equilateral triangles are there?
(2) What is the measure of each of the three angles in the equilateral triangle?
(3) If we cut an equilateral triangle down the middle (red line), what special right triangle do you create?
(4) What is the vocabulary word for the green line?
(5) What is the length of the short side of one 30-60-90 triangle?
(6) What is the length of the hypotenuse of one 30-60-90 triangle?
(7) Using the properties of 30-60-90 triangles, calculate the length of the long leg.
(8) What is the height of the equilateral triangle?
(9) Apply the formula for the area of a triangle to find the area of one equilateral triangle.
(10) Calculate the area of the complete hexagon by multiplying the area of one equilateral triangle by the number of triangles.
Answers: 3
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