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Question
In which of the following cases, a unique triangle can be drawn?
Options
AB = 4 cm, BC = 8 cm and CA = 2 cm
BC = 5.2 cm, ∠B = 90° and ∠C = 110°
XY = 5 cm, ∠X = 45° and ∠Y = 60°
An isosceles triangle with the length of each equal side 6.2 cm
Solution
XY = 5 cm, ∠X = 45° and ∠Y = 60°
Explanation:
Let us draw the triangle according to measurements given in respective options.
For (a) As we can see, triangle cannot be drawn.
For (b) Triangle cannot be formed.
For (c) Unique triangle can be drawn by these measurements.
For (d) Using given data, we can form as many triangles as we want.
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