Question

Given that in a triangle ABC, AB = 5.5 cm, BC = 5.5 cm, AC = 6 cm and $\angle ABC={120}^{\circ }$. The given triangle is a/an ___ based on its sides and a/an ___ based on its angles.

• A. Isosceles triangle, acute-angled triangle
• B. Scalene triangle, obtuse angled triangle
• C. Isosceles triangle, obtuse-angled triangle
• D. Equilateral triangle, right-angled triangle

Answer 1

The correct option is C

Isosceles triangle, obtuse-angled triangle

Given that two sides of the triangle are equal. Hence it is an isosceles triangle based on its sides. One of the angles is an obtuse angle. Hence we will call it an obtuse-angled triangle based on its angles.