draw a line segment of length 9 cm and divide it in the ratio 3:4. Write the steps of construction.
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Determine a point which divides a line segment of length 9 cm internally in the ratio of 4:3. Step: I- First of all we draw a line segment AB = 9cm. Step: II- We draw a ray AX making an acute angle ∠BAX = 60° with AB. Step: III- Draw a ray BY parallel to AX by making an acute angle ∠ABY = ∠BAX.
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Let 3 be 3x and 4 be 4x
3x + 4x = 9
7x =9
x = 9/7
x = 1.28571429
3x = 3 × 1.28571429
= 3.85714287
4x = 4× 1.28571429
= 5.14285716
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