Question

Is the following shape a right triangle

Answer 1

Answer:

Triangle ABC is a right angled triangle.

Step-by-step explanation:

A triangle is called a right angled triangle if one of its interior angle is right angle.

The vertices of the triangle are A(0,2), B(2,-1) and C(-1,-3).

The slope formula is

$m=\frac{y_2-y_1}{x_2-x_1}$

$m_{AB}=\frac{-1-2}{2-0}=-\frac{3}{2}$

$m_{BC}=\frac{-3+1}{-1-2}=\frac{2}{3}$

The product of slopes of two perpendicular lines is -1.

$m_{AB}\times m_{BC}=-\frac{3}{2}\times \frac{2}{3}=-1$

Thus sides AB and BC are perpendicular to each other.

Since the measure of angle B is 90 degree, therefore triangle ABC is a right angled triangle.

Answer 2

It has a 90 degree angle no more no less so yes. hope this helped