Question

In an isosceles right triangle ABC, right-angled at B, the longest side is ___?

• A. AB
• B. BC
• C. AC
• D. None of these

Answer 1

The correct option is C

AC

In a triangle, the side opposite to the bigger angle is larger than that opposite to the smaller angle. In the above question, it is given that the triangle is a right-angled isosceles triangle. So, the other two angles would measure ${45}^{\circ }$, respectively. So, the longest side would be the one opposite to the right angle, i.e. AC. Hence, AC is the longest side.