Question

Draw a line segment of length 7.6 cm and divide it in the ratio 5:8. Measure the two parts.

Answer 1

Steps of Construction: 

Step 1: Draw a line segment AB cm

Step 2: Draw a ray AX, making an acute angle ∠BAX.

Step 4: Join A₁₃B.

Step 5: From A₅, draw A₅P parallel to A₁₃B (draw an angle equal to ∠AA₁₃B), meeting AB in P.

Here, P is the point on AB which divides it in the ratio 5 :8.

∴ Length of AP = 2.9 cm (Approx)

Length of BP= 4.7 cm (Approx)