orthocenter

• January 14th 2010, 04:40 PM
Victoria
orthocenter
how do i find the orthocenter of a triangle?

what are the steps?

thank you...
• January 14th 2010, 06:20 PM
Soroban
Hello, Victoria!

Quote:

How do i find the orthocenter of a triangle?

The orthocenter is the common intersection of the altitudes.

Code:

```                A                 o               ** *               * *  *             *  *    *  E             *  *      o           *    *    *  *           *    *  *        *         *    → ◊ ←          *         *    *  *              *       *  *    *                *     B o * * * * o * * * * * * * * * o C                 D```

Draw altitude $AD$ perpendicular to side $BC.$
Draw altitude $BE$ perpendicular to side $AC.$

Their intersection is the orthocenter.