Question

Construct a triangle using the given data: BC = 6.0cm, ∠B = 60° and ∠C = 45°

Answer 1

BC = 6.0cm, ∠B = 60° and ∠C = 45°

Steps of Construction:
1. Draw a line segment BC = 6cm.
2. With B as centre, draw an arc meeting BC at M.
3. With M as centre and same radius, cut the arc at N.
4. Produce BN to BX. BX makes an angle of 60° with BC.
5. With C as centre, draw an arc meeting BC at P.
6. With P as centre and same radius, cut the arc at Q and with Q as centre and same radius, cut the arc at R.
7. With Q and R as centre, cut arcs and draw CY perpendicular to BC.
8. Bisect  ∠YCB. Let CZ be the bisector. CZ makes an angle of 45° with BC.
9. Mark the point as A, where CZ and BX cut each other.
Thus, ABC is the required triangle.