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In triangles of the same area, how do we say the relation between the length of the longest side and the length of the perpendicular from the opposite vertex? What if we take the length of the shortest side instead? |
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Answer» Let ‘a’ be the large side, h be the length of perpendicular from opposite vertices, ‘A’ be the area, then A = \(\frac{1}{2}\)ah, a = \(\frac{2A}{h}\) Length of larger side is inversely proportional to the length of perpendicular from the opposite vertex. i.e., The length of small side is inversely proportional to the length of perpendicular line from the vertex of small side. |
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