Question

Construct a triangle PQR in which `QR=4.7` cm PR-PQ=2.3 cm and `angleQ-angleR=50^(@)`.

Answer 1

Step 1: Draw line segment QR = 4.7 cm.
Step 2: Draw `bar(QX)`, such that `angleRQX=1/2(angleQ-angleR)=25^(@)`.
Step 3: With R as the center and the radius =2.3 cm, draw an arc intersecting `bar(QX)` at A.
Step 4: Join RA and produce `bar(RA)`.
Step 5, Draw the perpendicular bisector of QA to intersect RA produced at P.
Step 6: Join PQ. PQR is the required triangle.