The construction of a triangle ABC, given that BC = 3cm, C = 60° is possible when difference
of AB and AC is equal to .......... cm.
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Step-by-step 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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