Construct a triangle with sides 3cm 6cm 7cm

Mathematics

ScanSolve AI Answer

Answer

To construct a triangle with given side lengths, we can use a compass and straightedge.

Step-by-step solution

5 steps
  1. Draw a line segment of one of the given lengths.

    Let's start with the longest side, 7 cm. Label the endpoints A and B.

  2. Set your compass to the length of the second side, 6 cm.

    Place the compass point at one endpoint of the line segment (say, A) and draw an arc.

  3. Set your compass to the length of the third side, 3 cm.

    Place the compass point at the other endpoint of the line segment (B) and draw another arc.

  4. The point where the two arcs intersect is the third vertex of the triangle.

    Label this point C.

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

    You have now constructed a triangle with sides 3 cm, 6 cm, and 7 cm.

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