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

Question

Philoid · Accepted Answer

Steps of Construction:

(i) Draw base, BC = 5 cm

Now, draw a ray BX such that ∠XBC = ∠B = 60°.

(ii) Here, sum of two sides = AB + AC = 7.5 cm

So, cut the line segment BD = 7.5 cm from ray BX.

(iii) Join DC.

(iv)Draw perpendicular bisector of DC, say PQ, which intersects BD at A.

(v) Now join AC.

Thus, we get a ΔABC which is the required triangle.

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