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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
For the given triangle we can find the third angle by using the angle sum property of a triangle
If the angle sum property is satisfied, then it is possible to construct the triangle ∆DEF such that EF = 7.2 cm, m∠E = 110°, and m∠F = 80°, and if not then we cannot construct a triangle.
By angle sum property of a triangle,
∠E + ∠F + ∠D = 180°
110° + 80° + ∠D = 180°
So, ∠D = -10°
The angle −10° is not possible as it is negative, thus we cannot construct triangle ΔDEF.
Examine whether you can construct ∆DEF such that EF = 7.2 cm, m∠E = 110° and m∠F = 80°. Justify your answer.
Class 7 Maths NCERT Solutions Chapter 10 Exercise 10.4 Question 3
We have examined if ∆DEF can be constructed or not such that EF = 7.2 cm, m∠E = 110°, and m∠F = 80°. We get −10° as the third angle which is not possible, thus we cannot construct triangle ΔDEF.
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