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  2. Pappus's area theorem - Wikipedia

    en.wikipedia.org/wiki/Pappus's_area_theorem

    Pappus's area theorem describes the relationship between the areas of three parallelograms attached to three sides of an arbitrary triangle. The theorem, which can also be thought of as a generalization of the Pythagorean theorem , is named after the Greek mathematician Pappus of Alexandria (4th century AD), who discovered it.

  3. Parallelogram - Wikipedia

    en.wikipedia.org/wiki/Parallelogram

    The area of the parallelogram is the area of the blue region, which is the interior of the parallelogram. The base × height area formula can also be derived using the figure to the right. The area K of the parallelogram to the right (the blue area) is the total area of the rectangle less the area of the two orange triangles. The area of the ...

  4. Signed area - Wikipedia

    en.wikipedia.org/wiki/Signed_area

    The blue area above the x-axis may be specified as positive area, while the yellow area below the x-axis is the negative area. The integral of a real function can be imagined as the signed area between the x {\displaystyle x} -axis and the curve y = f ( x ) {\displaystyle y=f(x)} over an interval [ a , b ].

  5. Square - Wikipedia

    en.wikipedia.org/wiki/Square

    The area of a square is the product of the length of its sides. The perimeter of a square whose four sides have length is = and the area A is =. [1] Since four squared equals sixteen, a four by four square has an area equal to its perimeter.

  6. Missing square puzzle - Wikipedia

    en.wikipedia.org/wiki/Missing_square_puzzle

    Splitting the thin parallelogram area (yellow) into little parts, and building a single unit square with them. The key to the puzzle is the fact that neither of the 13×5 "triangles" is truly a triangle, nor would either truly be 13x5 if it were, because what appears to be the hypotenuse is bent.

  7. Mapping the damage from the Eaton and Palisades fires - AOL

    www.aol.com/news/mapping-damage-eaton-palisades...

    Everything larger than 120 square feet is included in their reports. So far, about 50 % of the structures within the Eaton fire perimeter have been inspected, and 35% of buildings in the Palisades.

  8. NFL playoff schedule: Dates, times, TV info for wild-card ...

    www.aol.com/nfl-playoff-schedule-dates-times...

    The NFL playoff schedule is about to be set, with the wild-card dates and times for every matchup to be revealed during Week 18.

  9. Pythagorean theorem - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_theorem

    The area of a triangle is half the area of any parallelogram on the same base and having the same altitude. The area of a rectangle is equal to the product of two adjacent sides. The area of a square is equal to the product of two of its sides (follows from 3).