Question

If $a,b\&c$ are the lengths of the sides of the triangle $ABC$ such that $\angle ABC={90}^{\circ }$ and $a=b\ne c$, then triangle $ABC$ is a

• A. An isosceles right triangle
• B. A scalene right triangle
• C. An isosceles acute triangle

Answer 1

The correct option is A An isosceles right triangle

Given $a,b,c$ are the sides of the triangle such that $a=b\ne c$.
$\Rightarrow △ABC$ is an isosceles triangle.
Also, $\angle ABC={90}^{\circ }$
$\Rightarrow △ABC$ is also a right triangle.
$\therefore △ABC$ is an isosceles right triangle.