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Worksheet for chapter-10 Heron’s Formula class 9

Worksheet For class 9

Find CBSE Worksheet for chapter-10 Heron’s Formula class 9



Mathematic Worksheet - 10

TOPIC: Heron’s Formula
For other CBSE Worksheet for class 9 Mathematic check out main page of Physics Wallah.


  1. The area of the field ABGFEA is:
    Heron’s Formula
    1. 7225m2
    2. 7230m2
    3. 7235m2
    4. 7240m2
  2. Area of shaded portion as shown in the figure:
    Heron’s Formula
    1. 12m2
    2. 13m 2
    3. 14m2
    4. 15m2
  3. If the sides of a triangle are doubled then its area :
    1. Remains the same
    2. Becomes doubled
    3. Becomes three times
    4. Becomes four times
  4. Inside a triangular garden there is a flower bed in the form of a similar triangle. Around the flower bed runs a uniform path of such a width that the sides of the garden are double of the corresponding sides of the flower bed. The areas of the path and the flower bed are in the ratio:
    1. 1:1
    2. 1:2
    3. 1:3
    4. 3:1


  1. In the given figure, ΔABC as an equilateral triangle the length of whose side is equal to 10 cm, and ΔDCB is a right angled at D and BD=8 cm.
    Find the area of the shaded region. Take √3=1.732.

    Heron’s Formula
  2. The sides of the triangle are 10cm, 24cm, and 26cm. Find its area and the altitude
  3. The sides of a triangular field are 165cm, 143cm, 154cm. Find the cost of ploughing it at 12 paise per sq.m.
  4. The perimeter of an isosceles triangle is 42 cm and its base is 1 times each of the equal sides.
    1. The length of each side of the triangle.
    2. The area of the triangle
    3. The height of the triangle.
  5. The perimeter of the right angled triangle is 40 cm. Its hypotenuse is 17cm.Find the sides containing the right angle. Also find the area of the triangle.
  6. The area of the square field is 8 hectares. How long would a man take to cross its diagonal by walking at the rate of 4km/hr?
  7. A rhombus shaped field has a green grass for 18 cows to graze. If each side of the rhombus is 30m and its longer diagonal is much area of grass field will each cow be getting?

Solutions: to worksheet-10 Topic-Heron’s Formula


  1. a
  2. a
  3. d
  4. d


  1. 19.3
  2. 120 cm2, 24 cm
  3. Rs 1219.68
    1. 12cm , 12 cm,18 cm
    2. 71.42cm2
    3. 7.94cm
  4. 8 cm, 15cm, and 60 cm2
  5. 6 minutes
  6. 48m2

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