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Question
Construct a triangle using the given data: DE = 5cm, ∠D = 75° and ∠E = 60°
Solution
DE = 5cm, ∠D = 75° and ∠E = 60°
Steps of Construction:
1. Draw a line segment DE = 5cm.
2. With D as centre, draw an arc cutting DE at P.
3. With P as centre and same radius, cut the arc at Q and then from Q, with same radius, cut the arc at R.
4. With Q and R as centre bisect ∠RDQ thus formed to draw a ray XD.
5. Again bisect the ∠XDQ. Let DY be the bisector. DY makes an angle of 75° with DE.
6. With E as centre, draw an arc meeting DE at S.
8. Produce ET to EZ. EZ makes an angle of 60° with DE.
9. Mark the point as F, where DY and EZ cut each other.
Thus, DEF is the required triangle.
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