6.
1 answer:
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Answer:
(a)6 Equilateral Triangles.
(b)30-60-90 triangle.
(c)See Attached Triangle in Figure 2
(d)Length of the short leg = 2cm.
(e)Length of the hypotenuse= 4cm.
(f)Length of the long leg=
(g)Apothem.
(h)Height of the Equilateral triangle=
(i)Area of One Equilateral triangle =
(j)Area of Hexagon =
Step-by-step explanation:
(a)From Figure 1, there are 6 Equilateral Triangles.
(b)If we cut an equilateral down the middle (green line), we create a 30-60-90 triangle.
(c)Triangle Attached in Figure 2.
(d)The length of the short leg of one of the 30-60-90 triangle is 2cm.
(e)The length of the hypotenuse of one of the 30-60-90 triangle is 4cm.
(f)Length of the long leg
We use Pythagoras Theorem to find the length of the long leg of the right triangle.
(g)The vocabulary word for the long side of the 30-60-90 called in the polygon (green line) is Apothem.
It is line segment from the <u>center to the midpoint of one of the sides of a polygon.</u>
<u>(h</u>)Height of the Equilateral Triangle=
(i)Area of One Equilateral triangle
Base =4 cm, Height =
Area=0.5X4X
=
(j)Area of Hexagon =Area of One Equilateral Triangle X 6
