A. Given two sides and an angle
Draw ΔABC with AB = 6 cm, BC = 4 cm and ∠B = 50°.
1. First draw a rough sketch of the triangle containing all the information given to you. It is preferable to take the longest side as the base.
2. Draw AB = 6 cm with a ruler.
3. Use a protractor to make an angle of a 50° at B.
4. Mark 4 cm from B with the help of a ruler and call it C.
5. Join A to C forming ΔABC.
B. Given two angles and a side
Draw ΔXYZ with XY = 7 cm, ∠X = 40°, ∠Y = 40°.
First draw a rough sketch of the triangle containing all the information given to you.
Draw base XY = 7 cm
Use a protractor to draw ∠X = 40°
Then draw ∠ = 40°
The two lines intersect at Z forming triangle XYZ.
C. Given the three side of a triangle
Draw ΔPQR with sides of PQ = 5 cm, PR = 3 cm and RQ = 4 cm
Draw a rough sketch of the triangle containing all the information given to you.
Draw base PQ = 5 cm.
Set your compass to 4 cm and place it on Q to draw an arc.
Reset your compass to 3 cm.
Place it on P and draw an arc to cross the first one at R.
Join PR and QR to from ΔPQR.