Question

Using ruler and compasses only, construct an ΔABC, given base BC = 7 cm, ∠ABC = 60° and AB+AC=12 cm.

Answer 1

Using ruler and compasses only, construct an ΔABC, given base BC = 7 cm, ∠ABC = 60° and AB+AC=12 cm.

Hence the required construction.

Steps of construction:

Draw a line segment BC of scale of 7 cm using a ruler.

From point B draw an arc named X with a measure of angle equal to 60°

With a center of B and radius of 12 cm, draw an arc that intersects BX at D.

Join DC.

Draw a perpendicular bisector of DC which intersects BD at A.

Join AC.

Therefore, Δ ABC is a required triangle.

Answer 2

Answer:

,given base BC = 7 cm, ∠ABC = 60° and AB+AC=12 cm.