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Reyansh
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Asked: 2020-10-30T03:18:17+00:00 In:

You have studied in Class IX, (Chapter 9, Example 3), that a median of a triangle divides it into two triangles of equal areas. Verify this result for engle ABC whose vertices are A(4, – 6), B(3, –2) and C(5, 2).

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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:5

2020-2021cbsechapter 7class10coordinate geometrymathematicsncert
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    1. Best Answer
      You have studied in Class IX, (Chapter 9, Example 3), that a median of a triangle divides it into two triangles of equal areas. Verify this result for engle ABC whose vertices are A(4, – 6), B(3, –2) and C(5, 2).

      Coordinates pf mid-points of BC = D((x₁+y₂)/2, (y₁+y₂)/2) = D((3+5)/2, (-2+2)/2) = D(4, 0)
      Area of triangle ABD
      = 1/2[4(-2-0)+3{0-(-6)}+4{-6-(-2)}]
      = 1/2[-8+18-16] = 1/2[-6] = -3 = 3 square units
      Area of triangle ACD
      = 1/2 [4(2-0)+5{0-(-6)}+4(-6-2)]
      = 1/2 [8+30-32] = 1/2[6] = 3 square units
      ⇒ Area of triangle ABD = Area of trinagle ACD = 3 square units
      Hence, a medium of a triangle divides it into two triangles of equal areas.

      See the video explanation here✌️

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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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