Uare units -5 + 6)]
its
ts.
ar regions, which
a distance of 1m from each
other. There is a triangular
grassy Jawn in the plot as
shown in the Fig. 7.14. The
A 1 2 3 4 5 6 7 8 9 10
students are to sow seeds of
flowering plants on the
remaining area of the plot.
Fig. 7.14
(1) Taking A as origin, find the coordinates of the vertices of the triangle.
(ii) What will be the coordinates of the vertices of A PQR if C is the origin?
Also calculate the areas of the triangles in these cases. What do you observe?
6. The vertices of a A ABC are A(4,6), B(1,5) and C(7,2). A line is drawn to intersect sides
AD AE
1
AB and AC at D and E respectively, such that
Calculate the area of the
AB
AC 4
AADE and compare it with the area of A ABC. (Recall Theorem 6.2 and Theorem 6.6).
7. Let A (4,2), B(6,5) and C(1,4) be the vertices of AABC.
The median from A meets BC at D. Find the coordinates of the point)
(ii) Find the coordinates of the point P on AD such that AP: PD = 2:1
(ii) Find the coordinates of points Q and R on medians BE and CF respectively such
that BQ: QE = 2:1 and CR RF= 2:1.
(iv)What do yo observe?
(Note: The point which is common to all the three medians is called the centroid
and this point divides each median in the ratio 2:1.).
5). (5,2)
nts are collinear
(2,-5)
the sides of their
kasons
is area to the area
are (-4,-2),(-2
its
ts.
ar regions, which
a distance of 1m from each
other. There is a triangular
grassy Jawn in the plot as
shown in the Fig. 7.14. The
A 1 2 3 4 5 6 7 8 9 10
students are to sow seeds of
flowering plants on the
remaining area of the plot.
Fig. 7.14
(1) Taking A as origin, find the coordinates of the vertices of the triangle.
(ii) What will be the coordinates of the vertices of A PQR if C is the origin?
Also calculate the areas of the triangles in these cases. What do you observe?
6. The vertices of a A ABC are A(4,6), B(1,5) and C(7,2). A line is drawn to intersect sides
AD AE
1
AB and AC at D and E respectively, such that
Calculate the area of the
AB
AC 4
AADE and compare it with the area of A ABC. (Recall Theorem 6.2 and Theorem 6.6).
7. Let A (4,2), B(6,5) and C(1,4) be the vertices of AABC.
The median from A meets BC at D. Find the coordinates of the point)
(ii) Find the coordinates of the point P on AD such that AP: PD = 2:1
(ii) Find the coordinates of points Q and R on medians BE and CF respectively such
that BQ: QE = 2:1 and CR RF= 2:1.
(iv)What do yo observe?
(Note: The point which is common to all the three medians is called the centroid
and this point divides each median in the ratio 2:1.).
5). (5,2)
nts are collinear
(2,-5)
the sides of their
kasons
is area to the area
are (-4,-2),(-2
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