Question 3 - Constructing Triangle (with different criterias) - Constructions

Transcript

Question 3 Construct a triangle PQR in which QR = 6 cm, ∠Q = 60° and PR − PQ = 2 cm. Steps of Construction: Draw base QR of length 6 cm 2. Now, let’s draw ∠ Q = 60° Let the ray be QX Open the compass to length PR – PQ = 2 cm. From point Q as center, cut an arc on ray QX. (opposite side of QR). Let the arc intersect QX at D 4. Join RD Note: Since PR – PQ = 2 cm, (PQ – PR) is negative So, QD will be below line QR Now, we will draw perpendicular bisector of RD 6. Mark point P where perpendicular bisector intersects RD Join PR ∴ Δ PQR is the required triangle