For those who are interested in
Geometry:
A triangle has an area of 1 unit. Each
of its sides is divided into 4 equal parts
through 3 points. The first and the last
point of each side will be connected
with each other to form 2 inscribed
triangles and these 2 triangles form
a hexagon. Find the area of the hexagon.
What is the result, if each side is
equally divided into 5 parts, or
generally into n parts?
Let ABC be an acute triangle. Find
the positions of the points M, N, P on
the sides BC, CA, AB, respectively,
such that the perimeter of the triangle
MNP is minimal.
P,Q,R,S are four locations on the
same horizontal plane.Q is on a
bearing of 041° from P and the
distance is 40km.
S is 28km from R on a bearing 074°,
R is directly due north of P and
the distance between Q and R is
38km.
(a)the bearing of R from Q
(b)the distance between Q and S
(c)the distance between P and R