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A, B, C are three points such that AB = \(\sqrt{50}\) cm, BC = \(\sqrt{98}\) cm, AC = \(\sqrt{288}\) cm. Do they lie on a straight line? |
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Answer» If A, B, C are points on the same line then AB + BC = AC AB + BC = \(\sqrt{50}+\sqrt{98}\) \(=\sqrt{25\times2}+\sqrt{49\times2}\) \(=5\sqrt{2}+7\sqrt{2}=12\sqrt{2}\) cm AC = \(\sqrt{288}=\sqrt{144\times2}\) = \(12\sqrt{2}\) cm Here AB + BC = AC. So the three given points are on the same straight line. |
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