# What is the orthocenter of a triangle with corners at #(4 ,1 )#, #(7 ,4 )#, and (3 ,6 )#?

##### 3 Answers

The trick to this little problem is to find the slope between two points from there find the slope of perpendicular line which simply given by:

1)

2) find the equation of line that passes through the angle opposite the original line for you case give: A(4,1), B(7, 4) and C(3,6)

**step1:**

Find the slope of

To get the equation of line write:

**step2**

Find the slope of

To get the equation of line write:

Now equate

Solve for =>

Insert

The trick to this little problem is to find the slope between two points from there find the slope of perpendicular line which simply given by:

1)

2) find the equation of line that passes through the angle opposite the original line for you case give: A(4,1), B(7, 4) and C(3,6)

**step1:**

Find the slope of

To get the equation of line write:

**step2**

Find the slope of

To get the equation of line write:

Now equate

Solve for =>

Insert

#### Answer:

Orthocenter(16/2, 11/3)

#### Explanation:

The trick to this little problem is to find the slope between two points from there find the slope of perpendicular line which simply given by:

1)

2) find the equation of line that passes through the angle opposite the original line for you case give: A(4,1), B(7, 4) and C(3,6)

**step1:**

Find the slope of

To get the equation of line write:

**step2**

Find the slope of

To get the equation of line write:

Now equate

Solve for =>

Insert