Question -
Answer -
We have
right angled at B.It is given that
and 
D and E are the mid-points of sides AB and AC respectively.
(i) We need to calculate length of BC.
In
right angled at B:By Pythagoras theorem,
Hence the length of BC is
(ii) We need to calculate area of
.In
right angled at B, D and E are the mid-points of AB and AC respectively.Theorem states, the line segment joining the mid-points of any two sides of a triangle is parallel to the third side and equal to half of it.
Therefore,
.Thus,
(Corresponding angles of parallel lines are equal)And
.
area of
D is the mid-point of side AB .
Therefore, area of
Hence the area of
is 
.