Question

draw a line segment AB of length 7 cm . using ruler and compasses , find a point P on AB such that AP/AB = 3/5.

Answer 1

let the length be 3x and 5x which corresponds to AP & AB
therefore 5x = 7
x = 7/5

therefore AP = 3x = 3 × 7/5 = 21/5 = 4.2cm

●Now draw a line seeng AB with ruler
●open compass to 4.2cm
●put the nib of compass at A and then cut the line AB
●the point of cutting is point P