# An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(7 ,4 )# to #(2 ,1 )# and the triangle's area is #18 #, what are the possible coordinates of the triangle's third corner?

##### 1 Answer

Nov 8, 2016

#### Explanation:

Calculate the middle point of side A

Get the direction of A

The direction of A axis:

The equation of A axis:

graph{(5x+3y-30)(3x-5y-1)((x-2)^2+(y-1)^2-0.01)((x-7)^2+(y-4)^2-0.01)((x-45/34)^2+(y-265/34)^2-0.01)((x-261/34)^2+(y+95/34)^2-0.01)=0 [-3,23,-4,9]}

Let

The triangle area can be calculated:

so