Question

Construct an isosceles triangle $ABC$ in which base $BC=5.8cm$ and altitude from $A$ on $BC$ is $4.8cm$

Answer 1

Steps of construction:
$1$. Draw a line segment $BC$ whose length is $5.8cm$.
$2$. Draw the perpendicular bisector of $BC$; call it $MP$ with $M$ on $BC$.
$3$. With $M$ as centre and radius $4.8cm$, draw an arc cutting $MP$ at $A$; join $AB$ and $AC$.
Then $ABC$ is the required triangle.