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Constructions — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsConstructions1 Mark
Question
Write True or False in the following. Give reasons for your answer: A triangle $ABC$ can be constructed in which $AB = 5\ cm,$ $\angle\text{A}=45^\circ$ and $BC + AC = 5\ cm.$
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Answer

Here $AB = BC + AC = 5\ cm.$ Since sum of two sides of a triangle is always greater than the third side, so we cannot construct a triangle in which $AB = BC + AC.$

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