Areas Related to Circles

Question

Draw a line segment of length 7.6 cm and divide it in the ratio 3 : 5.

Answer

Steps of Construction :

(i) Draw AB = 7.6 cm.
(ii)    Draw a ray AX making an acute ∠ BAX.
(iii)    Along AX, mark point A1, A2, A3 ...., A8, Such that AA1 = A1A= .......= AA8.(iv)    Join A8 B.
(v)    Through A3, draw a line A3C || A8B intersecting AB at C.
Thus, point so obtained is the required point which divides AB internally in the ratio 3 : 5.

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