Mathematics, 03.05.2021 20:10 maskythegamer
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 (green 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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