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प्रश्न
Is it possible to construct a triangle with lengths of its sides as 9 cm, 7 cm and 17 cm? Give reason for your answer.
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उत्तर
No. Here, we see that 9 + 7 = 16 < 17
i.e., the sum of two sides of a triangle is less than the third side.
Hence, it contradicts the property that the sum of two sides of a triangle is greater than the third side.
Therefore, it is not possible to construct a triangle with given sides.
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संबंधित प्रश्न
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ABC is an isosceles triangle with AB = AC and D is a point on BC such that AD ⊥ BC (Figure). To prove that ∠BAD = ∠CAD, a student proceeded as follows:
In ∆ABD and ∆ACD,
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[Hint: Recall how ∠B = ∠C is proved when AB = AC].
