Hello all,
I have just done 35 calculus questions of varying difficulty
and solved them quite easily, but the last problem i can't get my
thinking around . This is it: A rectangle PQRS is placed inside
a scalene triangle ABC [ the diagram is supplied but I can't draw it;
to explain the diagram.. BC is the base of ABC; P is on AB;Q is on AC;
S and R are on BC]. If the area of the triangle ABC is constant,
prove that the maximum area of the rectangle is one-half the area of
the triangle ABC.
Hope somebody can even get me started. Thank you. bazza