If trianglePQRis formed by Joining the mid points
of the sides of triangle ABC then of the ratio of the
areas of triangle PQRand triangle ABCis.
Answers
Answered by
1
Step-by-step explanation:
The segments joining the midpoints of two sides of a triangle is half as long as the third side.
DE
is the consequence of the 4
th
set of midpoints so,
BC
DE
=(
2
1
)
4
=
16
1
The ratio of the areas is the square of the ratio of corresponding sides,
∴
Area△ABC
Area△FDE
=(
16
1
)
4
=
256
1
Area of △DEF is given by:
Area△DEF=
256
Area△ABC
=
256
128
=
2
1
Similar questions