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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.



Correct Answer
A

18 cm

Your Answer
B

12 cm

Your Answer
C

15 cm

Your Answer
D

9 cm


Solution

The correct option is A

18 cm


Area of a square =Side2
36=Side2
Side=6 cm

Hence, side of triangle =6 cm

Semi perimeter of the triangle, s=6+6+62 cm=9 cm
Area of the triangle =s(sa)(sb)(sc)
=9(96)3
=243
=93 cm2

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