Section Formula CBSE NCERT Solutions Chapter 7 Exercise 7.3 Question 5
5. We know that median of a triangle divides it into two triangles of equal areas. Verify this result for
whose vertices are A (4, -6), B (3, -2) and C (5, 2).
Solution:
whose vertices are given. We need to show that
ar(
) = ar(
).
Let coordinates of point D are (x, y)
Using section formula to find coordinates of D, we get
Therefore, coordinates of point D are (4, 0)
Using formula to find area of triangle:
Area of
=
Area of
sq units
Area cannot be in negative. Therefore, we just consider its numerical value. Therefore, area of
= 3 sq units (1)
Again using formula to find area of triangle:
Area of
=
Area of
sq units (2)
From (1) and (2), we can say that ar(
) = ar(
)
Hence Proved
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jaxilin says
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