Construct a Δ PQR such that PQ = 4 cm, ∠R = 25° and the altitude from R to PQ is 4.5 cm.

Steps for construction:

Step 1: Draw a line segment PQ = 4 cm.

Step 2: At P, make ∠QPX = 25°.

Step 3: Draw PY⊥PX.

Step 4: Draw the perpendicular bisector of PQ intersecting at O and PQ at M.

Step 5: With O as center and OP as radius draw a circle.

Step 6: On the perpendicular bisector MO, mark a point S such that MS = 4.5 cm.

Step 7: Draw RSR’ parallel to PQ meeting the circle at R and R’.

Step 8: Complete the ΔPQR which is one of the required triangles.