Draw a line segment of 7.5 cm and divide it in trisection. Write the steps of construction.
Answers
Given : a line segment of 7.5 cm
To Find : divide it in trisection
Solution:
Step 1 : Draw a line segment AD = 7.5 cm
Step 2 : draw an acute angle DAX using protractor
Step 3 : Take 3 points from A on ray AX at equal distance , one by one using compass
Step 4 : Join 3rd point with D
Step 5 : Draw a line parallel to the line drawn in previous step , passing through 2nd point and intersecting AD at C
Step 6 : Draw a line parallel to the line drawn in previous step , passing through 1st point and intersecting AD at B
AB = BC = CD
AB + BC + CD = AD
=> AB = BC = CD = AD/3 = 7.5/3 = 2.5 cm
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