Question

Question 21
In which of the following cases, a unique triangle can be drawn?
a) AB = 4 cm, BC = 8 cm and CA = 2 cm
b) BC = 5.2 cm, $\angle \text{B}={90}^{\circ }\text{and}\angle \text{C}={110}^{\circ }$
c) XY = 5 cm, $\angle \text{X}={45}^{\circ }\text{and}\angle \text{Y}={60}^{\circ }$
d) An isosceles triangle with the length of each equal side 6.2 cm

Answer 1

Let us draw the triangle according to measurements given in respective options.
For (a) As we can see, the 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.
Hence, option (c) is correct.