The perimeter of a triangular field is 420 m and its sides are in the ratio 6 : 7 : 8. Find the area of the triangular field
A field in the form of a parallelogram has sides 60 m and 40 m and one of its diagonals is 80 m long. Find the area of the parallelogram
The perimeter of an isosceles triangle is 32 cm. The ratio of the equal side to its base is 3 : 2. Find the area of the triangle
From a point in the interior of an equilateral triangle, perpendiculars are drawn on the three sides. The lengths of the perpendiculars are 14 cm, 10 cm and 6 cm. Find the area of the triangle
Write True or False and justify your answer:
In a triangle, the sides are given as 11 cm, 12 cm and 13 cm. The length of the
altitude is 10.25 cm corresponding to the side having length 12 cm
Write True or False and justify your answer:
The area of a regular hexagon of side ‘a’ is the sum of the areas of the five
equilateral triangles with side a.
State whether the given statement is true or false.
If true, write the reasons.
(i) Ganga–Brahmaputra plain of India is an overpopulated region.
(ii) Water availability per person in India is declining.
(iii) Rows of trees planted in the coastal areas to check the wind
movement is called intercropping.
(iv) Human interference and changes of climate can maintain the
ecosystem.
Write True or False and justify your answer:
If the side of a rhombus is 10 cm and one diagonal is 16 cm, the area of the rhombus is 96 cm2
Write True or False and justify your answer:
The area of a triangle with base 4 cm and height 6 cm is 24 cm2
Match the followings :
(i) Land use. (a) prevent soil erosion
(ii) Humus. (b) narrow zone of contact between the lithosphere, hydrosphere and atmosphere
(iii) Rock dams (c) productive use of land
(iv) Biosphere (d) organic matter deposited on top soil
(e) contour ploughing
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