Question

Is the following shape a right triangle

Answer 1

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

Answer 2

Triangle ABC is a right angled triangle.

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=(y_2-y_1)/(x_2-x_1)`

`m_(AB)=(-1-2)/(2-0)=-(3)/(2)`

`m_(BC)=(-3+1)/(-1-2)=(2)/(3)`

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

`m_(AB)* m_(BC)=-(3)/(2)* (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.