# A triangle #hat(ABC)# has vertices of #A(1,3);B(1/2,3/2);C(2,1)#. Verify that the triangle is isosceles and calculate the area and perimeter?

##### 1 Answer

#### Explanation:

Let us first verify that the given points are **non-collinear.**

We use the following **necessary and sufficient condition** for

**collinearity** of the points :

We have,

Thus, the **points** are not collinear, and, hence, form

Knowing that, the **Area** of

**The Reqd. Area** =

Using the **Distance Formula,** we have,

**Enjoy Maths.!**