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Reyansh
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Asked: 2020-10-30T03:18:32+00:00 In:

Find the area of the triangle formed by joining the mid-points of the sides of the triangle whose vertices are (0, –1), (2, 1) and (0, 3). Find the ratio of this area to the area of the given triangle.

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NCERT Solutions for Class 10 Maths Chapter 7
Important NCERT Questions
Coordinate Geometry
NCERT Books for Session 2022-2023
CBSE Board and UP Board Others state Board
EXERCISE 7.3
Page No:170
Questions No:3

2020-2021cbsechapter 7class10coordinate geometrymathematicsncert
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    1. Best Answer
      Find the area of the triangle formed by joining the mid-points of the sides of the triangle whose vertices are (0, –1), (2, 1) and (0, 3). Find the ratio of this area to the area of the given triangle.

      Coordinates of mid-points of AB = P((x₁+x₂)/2), (y₁+y₂)/2) = P((0=2)/2), (-1+1)/2) = P(1,0)
      Coordinates of mid-points of BC = R((2+0)/2, (1+3)/2) = R(1,2)
      Coordinates of mid-points of AC = Q((0+0)/2, (-1+3)/2) = Q(0,1)
      = 1/2[1(2-1)+1(1-0)+0(0-1)] = 1/2[2] = 1 square units
      Area of triangle ABC
      = 1/2[0(1-3)+2{3-(-1)}+0(-1-1)] = 1/2[8] = 4 square units
      Hence, (Area of triangle PQR)/(Area of triangle ABC) = 1/4

      See this video for better explanation✌️

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    2. Get Hindi Medium and English Medium NCERT Solution for Class 10 Maths to download.
      Please follow the link to visit website for first and second term exams solutions.
      https://www.tiwariacademy.com/ncert-solutions/class-10/maths/chapter-7/

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