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Question
The construction of a triangle ABC, given that BC = 3 cm, ∠C = 60° is possible when difference of AB and AC is equal to ______.
Options
3.2 cm
3.1 cm
3 cm
2.8 cm
Solution
The construction of a triangle ABC, given that BC = 3 cm, ∠C = 60° is possible when difference of AB and AC is equal to 2.8 cm.
Explanation:
Given, BC = 3 cm and ∠C = 60°
We know that, the construction of a triangle is possible, if sum of two sides is greater than the third side of the triangle
i.e., AB + BC > AC
⇒ BC > AC – AB
⇒ 3 > AC – AB
So, if AC – AB = 2.8 cm, then construction of ΔABC with given conditions is possible.
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