Question

3. LARGEST EQUILATERAL TRIANGLE FROM A SQUARE
(a) Take a square piece paper name it ABCD.
(b) Fold It in such a way that it's opposite edges lie on each other this folded line is the
perpendicular bisector of the sides AB and DC
(c) Take a point G on the folded line now fold the two adjacent vertices B and A of the
square on the perpendicular bisector, such that the folded line pass through other
two vertices C and D of the square.
(d) Now the triangle at the center is an equilateral triangle as it is formed by taking
three sides of the square which are equal.
Questions
3.1 What type of triangle is formed? What is the measure of each angle of the triangle?
3.2 Find the area of the square whose side is 12cm?
3.3 Find the area of equilateral triangle of side 12cm?
3.4 What is the ratio area of a square of side a cm to area of equilateral triangle of side a?
3.5 If the side square is halved then it's area will increase or decrease?
3.6 If the side of square is doubled then it's area will be_​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

3.2)12×12= 144 cm

3.3) √3÷4(side)^2

side of equilateral triangle is given (12 cm)

√3÷4(12)^2

√3÷4×144=36√3cm