Question

A(0,5)B(6,11),C(10,7) are the vertices of triangle ABC. If D and E are mid points of AB and AC respectively,find the area of triangle ADE

Answer 1

we can find vertices of point D and E by mid point formula.....

now firstly we find the points of d...

= (X1+X2)/2 AND (Y1+Y2)/2

=(0+6)/2 AND (5+11)/2

=6/2 AND 16/2

=(3,8) are the points of d

now we can find the vertices of point e

=(0+10)/2 and (5+7)/2

=10/2 and 12/2

=(5,6) are the points of e

now area of triangle ADE

=1/2 (X1(Y2-Y3) +X2(Y3-Y1)+X3(Y1-Y2))

=1/2(0(8-6)+3(6-5)+5(5-8))

=1/2(3-15)

=1/2  (-12)

=-6  but area cannot be negative so answer is =6sq.unit

Answer 2

Answer:

The answer is above

Step-by-step explanation:

The steps taken are correct