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The following question is accompanied by two statements (I) and (II). You have to determine which statement(s) is/are sufficient/necessary to answer the questions. Find the height of the equilateral triangle.  I. Perimeter of the triangle ABC is equal to the perimeter of the rectangle PQRS, whose length and breadth are in the ratio of 5 : 3. II. Perimeter of a square WXYZ is known, which is twice the perimeter of the triangle ABC.

The following question is accompanied by two statements (I) and (II). You have to determine which statement(s) is/are sufficient/necessary to answer the questions. Find the height of the equilateral triangle.  I. Perimeter of the triangle ABC is equal to the perimeter of the rectangle PQRS, whose length and breadth are in the ratio of 5 : 3. II. Perimeter of a square WXYZ is known, which is twice the perimeter of the triangle ABC. Correct Answer Only II

Let the area of the triangle be 163 sq.m and perimeter of square = 48 m. 

∴ Area of equilateral triangle = √3/4 × a2 = 163, from here side of the equilateral triangle and height can be calculated.

∴ Only II

 

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