draw a line segment AB=9 cm using a pair of compass find the point C such that AC=BC
Answers
Draw line AB of 9 cm.
With the centre A draw an arc of radius more than half of AB.
With same radius draw an arc with the centre B cutting the previously drawn arc.
Both the arcs intersect at point C.
Now join AC and BC.
ABC is the required triangle.
You can measure that AC = BC.
Hope it will help you
The constructed figure is attached.
Given:
- Draw a line segment AB=9 cm.
To find:
- Using a pair of compass find the point C such that AC=BC.
Solution:
Concept to be used: Draw perpendicular bisector of line.
Steps of construction:
- Draw line AB of 9 cm with the help of pencil and scale.
- Put the compass at A, measure a radius more than half length of AB and make an arc in the direction of positive y- axis as well as in negative y-axis.
- Repeat step 2 from point B.
- Both the arcs met at a point, draw a line while joining these points.
- The line PQ intersects line AB at C.
- It is just halfway, i.e. AC=BC.
Verification:
Measure both segments AB.
It is clear that,
AC= 4.5 cm
and BC= 4.5 cm
Thus,
AC=BC
Thus,
Construction and verification has been done.
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