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How do you construct perpendicular bisectors of a triangle?

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Last updated date: 19th Jul 2024
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Answer
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Hint: In order to construct perpendicular bisectors of a triangle first we will draw a triangle. Then we choose a side of the triangle which we want to bisect and by using the compass we draw two points above and below the side. Then by joining the points we get the bisector of the triangle.

Complete step by step answer:
We have to construct perpendicular bisectors of a triangle.
To construct a perpendicular bisector of the triangle let us first draw a triangle, then we will get
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Now, we know that the perpendicular bisector bisects the opposite side of the vertex from which it comes into two equal halves.
Now, let us draw a perpendicular bisector of the side BC. For this first we set the compass with the length bigger than the side BC. Then we put the pointer of the compass on one end of the side BC and mark the arc above and below the line BC.
Now, again put the pointer of the compass on the other end of the side BC and with the same length we take previously cut the previously drawn arcs. Then we will get two points.
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Now, joining the points we get the bisector of the side BC.
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We can draw two other perpendicular bisectors using the similar steps.

Note: In equilateral triangle a median is always a perpendicular bisector because an equilateral triangle has all sides equal. A median is a line that comes from a midpoint of a vertex opposite to the side and meets the side at its mid-point.