Draw perpendicular bisectors of all the three sides of the traingle given below .​

Draw perpendicular bisectors of all the three sides of the traingle given below .​

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  1. Given : A triangle

    To Find : Draw perpendicular bisectors

    Solution:

    Construct perpendicular bisectors

    Step 1 : Label the vertices as A , B and C

    Step 2 : Using suitable compass width and taking A as center Draw arc on both sides of AB

    Step 3 : Keeping compass width same and taking B as center Draw arcs on both sides intersecting arc drawn in previous step at M & N

    Draw a line passing through M & N which is perpendicular bisector of AB

    Similarly draw perpendicular bisector of AC & BC

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  2. Answer:

    (i) Draw a line segment QR = 6.5 cm.

    (ii) Make ∠ XQR = 45°

    (iii) Make ∠ YRQ = 75°

    (iv) Let XQ and YR intersect at P.

    Then ∆ PQR is the required triangle.

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