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Question
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 ______.
Options
6.9 cm
5.2 cm
5.0 cm
4.0 cm
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Solution
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 6.9 cm.
Explanation:
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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