Question

Construct an isosceles $△ABC$ when base $BC=6.2cm$ and altitude $=4.4cm.$

Answer 1

We know that in an isosceles triangle, the altitude bisects the base.
Hence, follow the steps given below to construct the triangle.
1. Draw a line segment $BC=6.2cm$.
2. Find the mid point of $BC$ at $3.1cm$ from $B$ and name it as $D$.
3. Draw a perpendicular of length $4.4cm$ at $D$.
4. Mark the point as $A$.
5. Join, $A$ to $B$ and $A$ to $C$
6. $ABC$ is the required triangle.