Draw a line segment $PQ$ of length $7.4\,cm$. Then,construct the perpendicular bisector of the line segment $PQ$. Write the steps of construction.

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(N/A) Steps of construction:
$1$. Draw a line segment $PQ = 7.4\,cm$ using a ruler.
$2$. With $P$ as the center and a radius of more than half of $PQ$ (i.e.,$> 3.7\,cm$),draw two arcs,one above and one below the line segment $PQ$.
$3$. With $Q$ as the center and the same radius,draw two arcs that intersect the previous arcs at points $X$ and $Y$.
$4$. Join the points $X$ and $Y$ using a ruler. The line $XY$ is the required perpendicular bisector of $PQ$.

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Construct a triangle $ABC$ in which $BC = 7.5\, cm$,$\angle B = 45^{\circ}$ and $AB - AC = 4\, cm$.

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