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    OlympiadEasyGeometry5–6

    A rectangle measures 6 cm by 4 cm. A triangle has one side equal to the 6 cm side of the rectangle, and its third vertex anywhere on the opposite side. What is the area of the triangle, in cm²?

    Um retângulo mede 6 cm por 4 cm. Um triângulo tem um lado igual ao lado de 6 cm do retângulo e o terceiro vértice num ponto qualquer do lado oposto. Qual é a área do triângulo, em cm²?

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    Solution

    Wherever the third vertex sits on the opposite side, the height is the full width 4 cm. Area = \frac{6 \times 4}{2} = 12 cm² — half the rectangle, always.