the construction of a triangle abc in which b 6cm , angle a 50 is not possible when difference between ab and ac is equal to option a 4.5 cm b 6.4 cm c 5.1 cm d 6cm
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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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