A farmer is estimating the surface area of his barn to find how much paint he needs to buy. One part of the barn is triangular a
s shown.
part a. The darkened sides in the figure are the edges of the roof. This trim will be painted white. Find the length of each of these two sides of the triangle. Explain how you found the answer.
part b. The triangular surface will be painted red. Find the area of the triangle. Explain how you found the answer
Djmonster456 please don't answer this question. It would be much appreciated.
part a. The darkened sides in the figure are the edges of the roof. This trim will be painted white. Find the length of each of these two sides of the triangle. Explain how you found the answer.
part b. The triangular surface will be painted red. Find the area of the triangle. Explain how you found the answer
Djmonster456 please don't answer this question. It would be much appreciated.
1 answer:
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*I am assuming that the hexagons in all questions are regular and the triangle in (24) is equilateral*
(21)
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Similar to (21)
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(23)
For this case, we will have to consider the relation between the side and inradius of the hexagon. Since, a hexagon is basically a combination of six equilateral triangles, the inradius of the hexagon is basically the altitude of one of the six equilateral triangles. The relation between altitude of an equilateral triangle and its side is given by:
Hence, area of the hexagon will be: square units
(24)
Given is the inradius of an equilateral triangle.
Substituting the value of inradius and calculating the length of the side of the equilateral triangle:
Side = 16 units
Area of equilateral triangle = square units