Question

Construct a triangle ABC in which BC = 5 cm, ∠B = 60° and AC + AB = 7.5 cm.

Answer 1

Given, in ΔABC, BC = 5 cm, ∠B = 60° and AC + AB = 7.5 cm.

To construct the triangle ABC use the following steps:

1. Draw the base BC = 5 cm.
2. At the point B make an ∠XBC = 60°.
3. Cut a line segment BD equal to AB + AC = 7.5 cm from the ray BX.
   
4. Join DC.
5. Make an ∠DCY = ∠BDC.
6. Let CY intersect BX at A.
   Then, ΔABC is the required triangle.