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A wire of length 28cm is to be cut into two pieces, one of the pieces is made into a square and other into an equilateral triangle. What should be the lengths of the two pieces so that the combines area of both square and an equilateral triangle is minimum.

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MODERN PUBLICATION-HERON'S FORMULA-EXERCISE
  1. an equilateral triangle?

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  2. Find the area of the triangle, the lengths of whose sides are 18 cm, 2...

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  3. Find the area of the triangle whose sides are 12 cm, 14 cm and 20 cm.

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  4. The base of a right-awngled triangle is 48 cm and it hypotenuse is 50 ...

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  5. Find the area of a triangle whose sides are 18 cm 24 cm, and 30 cm in ...

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  6. Find the area of an isosceles triangle, each of whose equal sides meas...

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  7. An isosceles triangle has perimeter 30 cm and each of equal sides is ...

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  8. The base of an isosceles triangle measures 80 cm and its areaw is 360 ...

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  9. If the area of an equilateral is 36sqrt(3)cm^2, find its perimeter.

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  10. If the area of an equilateral is triangle is 8sqrt(3)cm^2, find its he...

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  11. The sides of a triangle are in the ratio 3:5:7 and its perimeter is 60...

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  12. The height of an equilateral triangle measures 9 cm. Find its area . (...

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  13. The perimeter of a triangular field is 540 m and its sides are in the ...

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  14. The perimeter of an isosceles triangle measures 42 cm and its base is ...

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  15. The perimeter of an isosceles triangle measures 42 cm and its base is ...

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  16. The perimeter of an isosceles triangle measures 42 cm and its base is ...

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  17. The lengths of the sides of a triangle are in the ratio 3:4:2 and its ...

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  18. The lengths of the sides of a triangle are in the ratio 3:4:5 and its ...

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  19. Find the area of a parallelogram ABCD in which AB = 28 cm, BC = 26 cm ...

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  20. Find the area of a parallelogram ABCD in which AB = 14 cm, BC = 10 cm ...

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  21. The sides of a quadrilateral are 5 cm,12 cm, 14 cm and 15 cm and the a...

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