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

##### 1 Answer

**Orthocenter of the triangle is at**

#### Explanation:

Orthocenter is the point where the three "altitudes" of a triangle meet. An "altitude" is a line that goes through a vertex (corner point) and is at right angles to the opposite side.

Slope of

Slope of perpendicular

Equation of line

Slope of

Slope of perpendicular

Equation of line

Solving equation(1) and (2) we get their intersection point , which is the orthocenter.

Orthocenter of the triangle is at