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Draw ∆ABC such that l(AB) = 4 cm, and l(BC) = 3 cm.1. Can this triangle be drawn? 2. A number of triangles can be drawn to fulfill these conditions. Try it out. 3. Which further condition must be placed if we are to draw a unique triangle using the above information? |
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Answer» 1. ∆ABC triangle cannot be drawn as length of third side is not given. 2. For ∆ABC to draw l(AC) > l(AB) + l(BC) i.e., l(AC) > 4 + 3 i.e., l(AC) > 7 cm ∴ number of triangles can be drawn if l(AC) > 7 cm 3. l(AC) > l(AB) + l(BC) is the required condition to draw a unique triangle. |
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