Question

Construct an isosceles triangle in which the lengths of each of its equal sides is $6.5\mathrm{cm}$ and the angle between them is $110°$.

Answer 1

First we draw a rough sketch.

The steps for construction are given below:

Draw a line segment $\mathrm{AB}=6.5\mathrm{cm}$.

From point $\mathrm{A}$, draw an angle of $110°$ using protractor.

Taking $\mathrm{A}$ as center and $6.5\mathrm{cm}$ as radius, draw an arc which cuts the ray at point $\mathrm{C}$.

Join $\mathrm{CB}$.

Thus, $∆\mathrm{ABC}$ obtained is the required isosceles triangle.