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Line segment of length 9.6 cm and divide it into early in the ratio 5 is to 3 measure the two parts give the justification of the construction?
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Line segment of length 9.6 cm and divide it into early in the ratio 5 ...
- Construction of Line Segment Division in the Ratio 5:3
First, draw a line segment of length 9.6 cm using a ruler.
- Step 1: Marking the Endpoints of the Line Segment
Mark the endpoints of the line segment as points A and B.
- Step 2: Construction of a Ray
From point A, draw a ray in any direction using a ruler.
- Step 3: Constructing an Angle
With point B as the center, draw an angle with the ray to create a point C on the ray.
- Step 4: Dividing the Line Segment
Using a compass, divide the line segment AB into 8 equal parts.
- Step 5: Connecting the Points
Connect the points obtained by dividing the line segment to form segments. Let the points be D, E, F, G, H, I, and J.
- Step 6: Determining the Division Points
The points dividing the line segment in the ratio 5:3 are E and H.
- Justification of the Construction
The division of the line segment AB into parts in the ratio 5:3 is achieved by dividing the line segment into equal parts and selecting the points that correspond to the desired ratio. This method ensures accuracy and precision in dividing the line segment as per the given ratio.
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Line segment of length 9.6 cm and divide it into early in the ratio 5 is to 3 measure the two parts give the justification of the construction?
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