Construction of Triangles When All Three Sides Are Given
Can you const...
Question
Can you construct triangle ABC with AB = 5 cm, ∠A = 80⁰ , ∠B = 120⁰?
A
May be
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B
No
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C
Poor Data
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D
Yes
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Solution
The correct option is B No It is not possible to construct a triangle with the given dimensions because sum of it's two angles is more than 180∘(80∘+120∘) = 200∘.
For any triangle to exist, the sum of the three angles must be equal to 180∘.