Exercise 5

Draw a $8$ centimetres long line and divide it in the ratio $2:3$.

Draw a rectangle of perimeter $15$ centimetres and sides in the ratio $3:4$.

Draw an Equilateral triangle of perimeter $10$ centimeters.

Draw triangle of perimeter $10$ centimeters and sides in the ratio $3:4:5$.

Draw triangle of perimeter $10$ centimeters and sides in the ratio $2 : 3 : 4$.

In the picture below, the diagonals of the trapezium $ABCD$ intersect at $P$. Prove that $PA \times PD = PB \times PC$