# A triangle has corners at #(2 , 4 )#, ( 3, 1 )#, and #( 8, 3 )#. What are the endpoints and lengths of the triangle's perpendicular bisectors?

##### 1 Answer

One end-pt. of all perp. bsctrs. is

Length of one perp.bsctr.

#### Explanation:

Let us name the vertices of

Clearly, the mid-pts. are

We know that three perp. bsctrs. of sides of a

To find

**Eqn. of #OD#:-**

On the same line, we can work out the **Eqn. of #OE#** as

Solving (1) & (2), we get

Length