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You have studied in Class IX, (Chapter 9...

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 ∆ ABC whose vertices A(4, – 6), B(3, –2) and C(5, 2).

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To verify that the median of triangle ABC divides it into two triangles of equal area, we will follow these steps: ### Step 1: Identify the vertices of triangle ABC The vertices of triangle ABC are given as: - A(4, –6) - B(3, –2) - C(5, 2) ...
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Explore conceptually related problems

As we know studied that a median of a triangle divides it into triangles of equal areas. Verify this result for Delta ABC whose vertices are A (4,-6), B(3,-2) and C (5,2).

Find the area of Delta ABC whose vertices are A(2, 7), B(3, -1) and C(-5, 6).

Knowledge Check

  • The area of Delta ABC whose vertices are A (2,5), B (4,7) and C(6,2) is

    A
    7 sq. units
    B
    14 sq. units
    C
    21 sq. units
    D
    28 sq. units
  • The area of Delta ABC with vertices A (2,1), B(3,4) and C (0.5) is

    A
    1 sq. units
    B
    2 sq. units
    C
    3 sq. units
    D
    4 sq. units
  • What is the area of a triangle whose vertices are A(-4, -2), B(-3, -5) and C(3, -2)?

    A
    12 sq units
    B
    10 sq units
    C
    7.5 sq units
    D
    10.5 sq units
  • Similar Questions

    Explore conceptually related problems

    Find the centroid of Delta ABC whose vertices are A(2, 2), B(-4, -4) and C(5, -8).

    Find the centroid of Delta ABC whose vertices are A(-3, 0), B(5, -2), and C(-8, 5).

    Find the area of triangle ABC whose vertices are A(-3, -5), B(5,2) and C(-9,-3).

    Find the lengths of the medians of a Delta ABC whose vertices are A(0, -1), B(2, 1) and C(0, 3).

    Find the area of triangle ABC with vertices are A(4,2),B(3,9) and C(10,10)