# Two corners of an isosceles triangle are at #(2 ,4 )# and #(3 ,8 )#. If the triangle's area is #18 #, what are the lengths of the triangle's sides?

##### 1 Answer

Feb 8, 2016

First find the length of the base, then solve for the height using the area of 18.

#### Explanation:

Using the distance formula ...

**length of base**

Next, find the height ...

Triangle Area =

**height**

Finally, use **Pythagorean theorem** to find the length of the two equal sides ...

Sides

In summary, the isosceles triangle has two equal sides of length

Hope that helped