A rectangle is given. By paper folding activity, make an equilateral triangle with one side as
breadth of the rectangle. Make another equilateral triangle with maximum area inside it.
Questions
4.1 What is the height of maximum area equilateral triangle?
4.2 What is the side of that triangle?
4.3 Find the area of triangle?
4.4 What is the ratio of area of these two triangle
Answers
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Answer:
1) maximum Height of equilateral triangle must be half of length of Rectangle.
= 1/2 × length
2) side of the triangle must be equal with breadth of rectangle
= side = breadth
3) area of triangle must be half of the area of rectangle
4) ratio of area of triangle = A1/A2 = (side1/side2)²
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