Question

Draw a line segment of length 7.6cm and divide it in the 5:8.Measure two parts.
( I want it including steps of construction)

Answer 1

STEPS OF CONSTRUCTION

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1) Draw a line segment AB = 7.6 cm.

2) Draw a ray AX , making an acute angle BAX

3) Along AX , mark (5+8) = 13 points as A1 , A2 , A3 , A4 , A5 , A6, A7 , A8 , A9 , A10 , A11 , A12 , A13

such that

AA1 = A1A2 =A2A3 = A3A4 = A4A5 = A5A6 = A6A7 =A7A8 = A8A9= A9A10= A10A11 = A11A12 =A12A13

4) Join A13 and B .

5) From A5 draw A5C parallel to A13B ( by making an angle equal to the angle A A13 B ) , meeting AB at C .

Then , C is the point on AB , which divides it in the ratio 5:8 .