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Construct an Equilateral triangle ABC, given AB=50mm. Construct an isosceles triangle ABC, given AB=70mm, AC=50. Construct a scalena triangle ABC, given AB=80mm, AC=60mm, BC=40mm

Mathematics

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here's how to construct a scalene triangle ABC with AB = 80 mm80 \text{ mm}, AC = 60 mm60 \text{ mm}, and BC = 40 mm40 \text{ mm}:

  1. Draw a line segment AB of length 80 mm80 \text{ mm}.

  2. Place the compass point at A and open it to a radius of 60 mm60 \text{ mm} (length of AC).

    Draw an arc above the line segment AB.

  3. Place the compass point at B and open it to a radius of 40 mm40 \text{ mm} (length of BC).

    Draw another arc that intersects the first arc.

  4. Label the point where the two arcs intersect as C.

  5. Draw straight lines to connect A to C and B to C.

    The resulting triangle ABC is a scalene triangle with sides AB = 80 mm80 \text{ mm}, AC = 60 mm60 \text{ mm}, and BC = 40 mm40 \text{ mm}.

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