Question

Using rulers and compasses only, construct a △ABC, given base BC = 7 cm, ∠ABC = 60° and AB + AC = 12 cm.

Answer 1

Step 1: Draw a line segment BC = 7 cm. 

Step 2: Draw an arc from point B cutting BC at N. (Choose any radius.) 

Step 3: Keep compass at point N with same radius selected in step 2, cut the previous arc at M. 

Step 4: Join line segment BM. 

Step 5: Produce BM to any point P 

Step 6: Cut BR = 12 cm, from BP. 

Step 7: Join CR. 

Step 8: Draw a perpendicular bisector of RC which intersects BR at A. 

Step 9: Join line segment AC. 

Hence, △ABC is the required triangle.