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Examine whether you can construct ∆DEF such that EF = 7.2 cm, m∠E = 110° and m∠F = 80°. Justify your answer.

Q 3.     Examine whether you can construct \Delta DEF such that EF = 7.2 cm, m\angle E = 110^{\circ} and m\angle F = 80^{\circ}. Justify your answer.

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No, we cannot construct such that EF = 7.2 cm, m\angle E = 110^{\circ} and m\angle F = 80^{\circ}. This is because of the property of the triangle of having a sum of internal angles equal to 180 degrees. if we have m\angle E = 110^{\circ}, then we cannot have m\angle F = 80^{\circ} because then the sum would exceed 180 degree which is impossible.

 

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