Question

The lines containing the altitudes of a triangle meet at a single point, called the orthocenter. The position of the orthocenter is determined by the measures of the angles. Construct the three altitudes for each of the following triangles. Then complete the statements in parts a-c.

Use the Chapter $14$ Geometer's Sketchpad activity Orthocenter on our Web site to investigate a wide range of acute, obtuse, and right triangles. Do your conclusions for parts $\mathrm{a}, \mathrm{b}$, and $c$ still hold?

Solution

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Answered 1 year ago

Step 1

1 of 5To begin with, we will draw several different acute, obtuse and right triangles and determine their orthocenters. The orthocenter of a triangle is the intersection point of the triangle's three altitudes.

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