Question

​​​​​​​Draw an isosceles triangle with each of equal sides of length 3 cm and the angle between them as ${45}^{\circ }$.

Answer 1

Steps of construction
Step I : First, we draw a rough sketch of a triangle with given measures marked on it.

Step II : Draw a line segment AB of length 3 cm.
Step III : Draw an angle of ${45}^{\circ }$ on point B and produce it to ray Y.
Step IV : With B as a centre, draw an arc of 3 cm which intersects ray BY at C.
Step V : Join AC.

Thus, $\Delta ABC$ is the required isosceles triangle with
AB = BC = 3cm