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Construct triangle ABQ equal in area to triangle ABC.

Mathematics

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  1. Construct triangle ABQ equal in area to triangle ABC.

    To construct a triangle ABQ with the same area as triangle ABC, sharing the same base AB, the vertex Q must lie on a line parallel to AB and passing through C.

  1. Draw a line through point C that is parallel to the base AB.

  2. Choose any point Q on this parallel line.

  3. Connect points A to Q and B to Q.

    *   Triangle ABQ will have the same base AB and the same perpendicular height (distance between parallel lines) as triangle ABC, thus having an equal area.

    11. **Evaluate $\int (

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