Self Studies

Heron`s Formula...

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  • Question 1
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    In a quadrilateral ABCD, AB = 10 cm, BC = 12 cm, CD = 7 cm, AD = 9 cm and diagonal AC = 14 cm. The area of ABC is

  • Question 2
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    What is the area of the given triangle?

  • Question 3
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    ABC is an isosceles triangle with AB = AC = a cm. If BC = b cm, then use Heron's formula to find the area of the triangle.

  • Question 4
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    In a triangle ABC, AB = 6 cm, BC = 7 cm and AC = 9 cm. The area of ABC is

  • Question 5
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    ABCD is a rhombus with AB = 6 cm and AC = 8 cm. What is the area of the rhombus?

  • Question 6
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    XYZ has sides XY = 20 cm, YZ = 30 cm and XZ = 40 cm. What is the length of the altitude from vertex X?

  • Question 7
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    What is the area of the given figure?

  • Question 8
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    An irregular octagon is formed by joining 8 triangles, each having dimensions 8 cm, 7 cm and 9 cm. What is the total area of the octagon?

  • Question 9
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    A showpiece is made up of three triangles measuring 4 cm, 5 cm and 7 cm. What is the total area of the showpiece?

  • Question 10
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    What is the area of an isosceles triangle whose sides measure a cm, a cm and b cm?

  • Question 11
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    In a triangle, the three sides a, b and c measure 9 cm, 6 cm and 5 cm, respectively. What is the length of the altitude to the side 'b' from the opposite vertex?

  • Question 12
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    ABC is a scalene triangle. If AB = 3 cm, BC = 6 cm and AC = 5 cm, what is the area of the triangle?

  • Question 13
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    If the lengths of the sides of a triangle are doubled, then which of the following shows the correct relationship between the new area (A2) and the old area (A1)?

  • Question 14
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    What is the area of the given triangle?


  • Question 15
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    What is the area of a parallelogram with adjacent sides measuring 12 cm and 5 cm and the diagonal corresponding to the given two sides measuring 13 cm?

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