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O is any point inside the equilateral triangle ABC. The perpendicular distances of the sides BC, CA and AB from O are 2 cm, 3 cm and 5 cm respectively. Determine the height of the triangle.

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CALCUTTA BOOK HOUSE-THEOREMS ON AREAS-EXERCISE-3
  1. Find the area of a parallelogram having base 15 cm and hight 8.2 cm.

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  2. The ratio of the base and height of a triangle is 7 : 6, the sum of it...

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  3. O is any point inside the equilateral triangle ABC. The perpendicular ...

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  4. Find the co ordinate on the Y axis cut by the straight line 2x+3y=12

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  5. The area of the parallelogram ABCD is 44 sq.cm. P is the mid-point of ...

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  6. A square and a rhombus stand on the same base of length 10 cms. Show t...

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  7. In the isosceles DeltaABC, AB = AC , O is any point on the side BC. OP...

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  8. In the trapezium ABCD, AB || DC. The diagonals AC and BD of it interse...

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  9. Prove that the line segment joining the mid-points of the lateral side...

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  10. Side of a equilateral triangle is 7 ,find its hight.

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  11. If a square and a rhombus lie on the same base, then find logically wh...

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  12. Prove that the area of a rhombus is half the area of the rectangle pro...

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  13. D, E and F are the mid-points of the sides AB, BC and CA of the DeltaA...

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  14. If E be the mid-point of the median AD of DeltaABC, then prove that De...

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  15. Prove that two diagonals of a parallelogram divides it into four trian...

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  16. P is any point on AD, the median of DeltaABC. Prove that DeltaABP=Delt...

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  17. P is any point in the interior of the parallelogram ABCD. Prove that D...

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  18. In the trapezium ABCD, AB || DC and the diagonals AC and BD intersects...

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  19. The diagonals AC and BD of a quadrilateral ABCD intersects each other ...

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  20. D and E lie on the side AB and AC of DeltaABC such that DeltaDBC=Delta...

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