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Area of Triangles

You know that Area = base x height / 2, but what other ways are there to find the area of a triangle? Brace yourself for some potent formulae.

Area of Triangles: Level 2 Challenges


Which of the following triangles has a larger area:

  • triangle A with side lengths \( 13, 13, 10 \), or
  • triangle B with side lengths \( 13, 13, 24\, ?\)

In a square \(ABCD\), \(E\) and \(F\) are the midpoints of sides \(AB\) and \(AD\), respectively. A point \(G\) is taken on segment \(CF\) in such a way that \(2CG=3FG\).

If the side of the square is \(2\), then what is the area of \(\triangle{BEG}\)?

Find the area of a triangle with sides \(\sqrt{13}, \sqrt{61} , \sqrt{80} \).

In triangle \(\triangle ABC\), \(BE\) and \(CF\) are medians. \(BE=9\text{ cm}\), \(CF=12\text{ cm}\). If \(BE\) is perpendicular to \(CF\), find the area of the triangle \(\triangle ABC\) in \(\text{ cm}^2\).

\(ABCD \) is a parallelogram. The area of \(ABCT\) is 45 and \(T\) is the midpoint of \(AD\). Find the area of triangle \(ACD\).


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