Math  /  Geometry

QuestionIn an acute triangle, the orthocenter will be located '

Studdy Solution

STEP 1

1. We are dealing with an acute triangle.
2. We need to determine the location of the orthocenter in relation to the triangle.

STEP 2

1. Define what an orthocenter is.
2. Determine the properties of an acute triangle.
3. Identify the location of the orthocenter in an acute triangle.

STEP 3

The orthocenter of a triangle is the point where the three altitudes intersect. An altitude is a perpendicular segment from a vertex to the line containing the opposite side.

STEP 4

An acute triangle is a triangle where all three interior angles are less than 9090^\circ. This means that all vertices are "pointing inward" and none of the altitudes will extend outside the triangle.

STEP 5

In an acute triangle, since all angles are less than 9090^\circ, the altitudes from each vertex will intersect at a point inside the triangle. Therefore, the orthocenter of an acute triangle is located inside the triangle.
The orthocenter in an acute triangle will be located inside the triangle.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord