Question

Draw seg PQ of length 6 cm divide it in the ratio 2:3

Answer 1

$let \: the \: point \: where \: \bold{pq} \: is \: cutted \\ \: be \: \bold{r}\\ if \: the \: ratio \: is \: 2 : 3 \: then \\ 2x \: and \: 3x \: is \: lenght \: of \: \bold{pr} \: and \: \bold{rq} \\ \\ \bold{pr} + \bold{rq} = \bold{pq} \\ 2x + 3x = 6 \: cm \\ 5x = 6 \: cm \\ x = \frac{6}{5} \: cm = 1.2 \: cm \\ then \\ \bold{pr} = 2x = 2 \times 1.2 \: cm = 2.4 \: cm \\ \bold{rq} = 3x = 3 \times 1.2 \: cm = 3.6 \: cm$