Question

Construct a triangle $ABC$ in which $AB=4.5cm,AC=5cm$ and length of perpendicular from $A$ on $BC$ is $3.6cm$

Answer 1

Steps of construction
$1$. Draw a line segment $XY$.
$2$. Take a point $M$ on $XY$.
$3$. Draw $ZM\perp XY$, with $MZ$ sufficiently large.
$4$. With $M$ as center and radius $3.6cm$, draw an arc, cutting $MZ$ at $A$.
$5$. With $A$ as center and radii $4.5cm$ and $5cm$, draw arcs cutting $XY$ at $B$ and $C$ respectively; join $AB$ and $AC$.
Then $ABC$ is the required triangle.