Question
The area of a square is 36 cm2. If the side of the square is equal to the side of an equilateral triangle, then find the area of the triangle.
Answer: Option A
:
A
Area of square = Side2
⇒36 =Side2
⇒ Side = 6 cm
Side of triangle = 6 cm
Semi perimeter of the triangle s =6+6+62cm=9cm
Area of the triangle =√s(s−a)(s−b)(s−c)
=√9(9−6)3
=√243
=9√3cm
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:
A
Area of square = Side2
⇒36 =Side2
⇒ Side = 6 cm
Side of triangle = 6 cm
Semi perimeter of the triangle s =6+6+62cm=9cm
Area of the triangle =√s(s−a)(s−b)(s−c)
=√9(9−6)3
=√243
=9√3cm
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