Question

In which of the following cases the construction of a triangle is not possible? (A)Measures of 3 sides are given. (B)Measures of 2 sides and an included angle are given. (C)Measures of 2 angles and a side are given.(D) Measures of 3 angles are given.

Answer 1

Answer:

Option (D) is correct answer

Step-by-step explanation:

Given problem is about construction of a triangle

Triangle

      Triangle is a polygon with 3 three sides and 3 internal angles. Sum of the internal angles in any triangle is 180°. For constructing a triangle we must know any one of following dimensions

1.Three sides of the triangle

2.Two angles and one side of the triangle

3.Two sides and one angle of the triangle

4.Hypotenuse of the right angled triangle with one side of triangle [if triangle is right angled triangle ]  

⇒ From above statements we construct a triangle in cases (A) (B) and (C)

⇒ It is not possible to construct a triangle in case (D)