Question

Construct a rhombus $MATH$ with $AT=4cm,\angle MAT={120}^o$.

Answer 1

Steps for construction:

Step 1. Draw a line segment $AT=4$ cm.

Step 2. Construct $\angle MAT={120}^{\circ }$ at the point $A$.

Step 3. On the line $AX$, make $AM=4$ cm.

Step 4. With $T$ as the centre and radius $=4$ cm draw an arc.

Step 5. With $T$ as the centre and radius $=4$ cm draw an arc to cut the arc in the previous step at $H$.

Step 6. Join $MH$ and $HT$.

Hence, $MATH$ is the required Rhombus.