In the figure, the vertices of ◇ ABC are A (5, 6), B (1, 4) and C (7, 2). Points D and E are mid points of sides AB and AC respectively. Find the area of ◇ ADE.
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let the vertices of a triangle are
x1,y1
x2,y2
x3,y3
if you want the mid point of D is AB then sum of two sides-opposite side=the point.
5+1-7=6-7=-1
6+4-2=8-2=6
th point d is (-1,6).
now the point E is AC THEN,
5+7-1=12-1=11
6+2-4=8-4=4
the point e is (11,4).
now triangle ade the point are:
a(5,6),d(-1,6),e(11,4)
area=1/2[x1 x2 x3 y1]
y1 y2 y3 y1
by solving this we can get the answer.sry i cannot do much more.
HOPE IT HELPS...
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