NCERT Class 9 Solutions: Heron՚s Formula (Chapter 12) Exercise 12.2 Part 5 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Image Gives Herons Formula in Simple Terms

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Art Derived from Herons Formula

Q-8 A floral design on a floor is made up of 16 tiles which are triangular, the sides of the triangle being (see Fig) . Find the cost of polishing the tiles at the rate of

A Floral Design Made of Triangles

Solution:

  • Semi perimeter of each of the triangular shapes
  • Therefore, area of each of the triangular tiles
  • Therefore, total area of
  • Cost of polishing tiles =
  • Therefore, total cost of polishing tiles

Q-9 A field is in the shape of a trapezium whose parallel sides are 25 m and 10 m. The non-parallel sides are 14 m and 13 m. find the area of the field.

Solution:

SBQP is the Required Trapezium

Given,

  • SBQP be the trapezium with parallel sides and the non-parallel sides

Construction,

  • Draw
  • Draw , therefore QPSR is now a parallelogram

In ,

  • and
  • .
  • Therefore, semi perimeter of the

Therefore, by Herons formula, area of the

Area of the parallelogram

Therefore, area of the trapezium

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