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The construction of a triangle ABC, given that BC = 6 cm, ∠B = 45° is not possible when difference of AB and AC is equal to: (A) 6.9 cm (B) 5.2 cm (C) 5.0 cm (D) 4.0 cm |
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Answer» (A) 6.9 cm Given, BC = 6 cm and ∠B= 45° We know that, the construction of a triangle is not possible, if sum of two sides is less than or equal to the third side of the triangle. i.e., AB + BC < AC => BC < AC – AB => 6 < AC-AB So, if AC – AB= 6.9 cm, then construction of ΔABC with given conditions is not possible. |
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