Question

Construct ΔPQR in which QR = 8 cm, ∠B = 60° and AB – AC = 3.5 cm. Read ∠Q = 60°and PQ – PR = 3.5 cm Solution:

Answer 1

Steps: 

• Draw QR = 8 cm. 
• Construct ∠RQX = 300 at Q.
• Mark a point S on \(\overrightarrow{QX}\) such that QS = PQ  – PR = 3.5 cm
• Join S, R and draw the perpendicular bisector to \(\overline{QR}\) meeting \(\overrightarrow{QX}\) at P.
• Join P, R to form the ΔPQR.