Question
Construct a $\triangle\text{ABC}$ in which BC = 5.3cm, $\angle\text{B}=60^\circ$ and AB = 4.2cm. Also, draw the perpendicular bisector of AC.

Answer


Steps of construction:
Step 1: Draw BC = 5.3cm
Step 2: Construct $\angle\text{CBX}=60^\circ$
Step 3: With B as the centre and radius 4.2cm, cut the ray BX at point A.
Step 4: Join A and C.
Step 5: With A as the centre and radius more than half of AC, draw an arc on either side of AC.
Step 6: With C as the centre and the same radius, draw another arc cutting the previously drawn arc at M and N.
Step 7: Join M and N.

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