Question

Dean and Sam had to construct a triangle ABC with $\angle A={60}^{\circ }$, $\angle B={105}^{\circ }$ and BC = 5 cm. Assuming Dean and Sam both won't commit any error while construction, which of the following options is true?

• A. They both will end up with different triangles
• B. They both will end up with the same triangle
• C. They can't complete the construction because such a triangle doesn't exist
• D. Insufficient data for construction

Answer 1

The correct option is B

They both will end up with the same triangle

Since the steps of construction of the triangle are fixed, there exists a unique $△ABC$ with $\angle A={60}^{\circ }$, $\angle B={105}^{\circ }$ and BC = 5cm. Hence, Dean and Sam will end up with same triangle after their constructions if they don't make a mistake.