Draw a line segment $\overline{XY}$ of length $7.5\, cm$ and divide it in the ratio $3:4:5$ starting from $X$. Write the steps of construction.
(N/A) Steps of construction:
$1$. Draw a line segment $\overline{XY} = 7.5\, cm$ using a ruler.
$2$. Draw an acute angle $\angle YXA$ at point $X$ below the segment $\overline{XY}$.
$3$. Starting from $X$,mark $3 + 4 + 5 = 12$ points $X_1, X_2, ..., X_{12}$ on the ray $XA$ such that $XX_1 = X_1X_2 = ... = X_{11}X_{12}$ using a compass.
$4$. Join the point $X_{12}$ to $Y$.
$5$. Through points $X_3$ and $X_7$ (since $3$ and $3+4=7$),draw lines parallel to $X_{12}Y$ intersecting $\overline{XY}$ at points $P$ and $Q$ respectively.
$6$. The points $P$ and $Q$ divide the segment $\overline{XY}$ in the ratio $3:4:5$.
$1$. Draw a line segment $\overline{XY} = 7.5\, cm$ using a ruler.
$2$. Draw an acute angle $\angle YXA$ at point $X$ below the segment $\overline{XY}$.
$3$. Starting from $X$,mark $3 + 4 + 5 = 12$ points $X_1, X_2, ..., X_{12}$ on the ray $XA$ such that $XX_1 = X_1X_2 = ... = X_{11}X_{12}$ using a compass.
$4$. Join the point $X_{12}$ to $Y$.
$5$. Through points $X_3$ and $X_7$ (since $3$ and $3+4=7$),draw lines parallel to $X_{12}Y$ intersecting $\overline{XY}$ at points $P$ and $Q$ respectively.
$6$. The points $P$ and $Q$ divide the segment $\overline{XY}$ in the ratio $3:4:5$.
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