Question

Draw $∆$BAD, such that AD = 5.7 cm, $\angle$BAD = 120$°$ and AB = 4.5 cm. Draw seg BM perpendicular to line AD.

Answer 1

Steps of construction:

1. Draw AD = 5.7 cm.
2. Draw ray AX, such that $\angle \mathrm{DAX}=120°$.
3. With A as centre and radius 4.5 cm, draw an arc, intersecting ray AX at point B.
4. Join B and D.
5. With B as centre and any radius, draw an arc, intersecting DZ(DA produced to Z) at points X and Y.
6. With X as centre and any radius, draw an arc.
7. With Y as centre and the same radius, draw an arc cutting the previously drawn arc at Q.
8. Join B and Q, cutting DZ at M.