Question

3 Find the area of the triangle formed by joining the
mid-points of the sides of the triangle whose
vertices are (0, -1), (2, 1) and (0, 3). Find the ratio
of this area to the area of the given triangle.​

Answer 1

Answer:

3/2

Step-by-step explanation:

mid point of AB=(1,0)

mid point of BC=(2,2)

mid point of CA=(0,1)

area formula=1/2((x1-x2)(y1-y3)-((x1-x3)(y1-y2))

=3/2

Answer 2

Answer:

2 unit

Step-by-step explanation:

the midpoint formula is

$( \frac{x1 + x2}{2} )$

$( \frac{y1 + y2}{2} )$

The area of triangle is

$|x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|$