# What is the orthocenter of a triangle with corners at #(3 ,1 )#, #(4 ,5 )#, and (2 ,7 )#?

##### 1 Answer

Jan 5, 2018

Orthocenter coordinates

#### Explanation:

Slope of

Slope of

Equation of AD is

Slope of

Slope of

Equation of CF is

Solving Eqns (1) & (2), we get the orthocenter

Solving the two equations,

Coordinates of orthocenter