Question

In which of the following cases, a unique triangle can be drawn:

• A. AB = 4 cm , BC = 8 cm , CA = 3 cm
• B.
• C. An isosceles triangle with the length of each side equal to 5 cm
• D.

Answer 1

The correct option is B

In option A,
AB + CA < BC. The triangle cannot be drawn.
The sum of the two sides of a triangle should be greater than the third side.
In option B,
The triangle can be drawn.
In option C,
We cannot draw a triangle unless we have the third side.
In option D,
∠B + ∠C = ${90}^{\circ }$+ ${90}^{\circ }$= ${90}^{\circ }$