Triangle Types Quiz

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson
Download our mobile app to listen on the go
Get App

Questions and Answers

What is the defining characteristic of an acute triangle?

  • It has three obtuse angles
  • It has three acute angles (correct)
  • It has one obtuse angle
  • It has one right angle

Why can't a Euclidean triangle have more than one obtuse angle?

  • It violates the sum of angles in a triangle (correct)
  • It contradicts the law of sines
  • It violates the Pythagorean theorem
  • It contradicts Euclid's postulates

In an acute triangle, where are the orthocenter and circumcenter located?

  • Interior (correct)
  • Exterior
  • On the vertices
  • On the midpoints of the sides

What is the intersection point of the triangle's three altitudes called?

<p>Orthocenter (C)</p> Signup and view all the answers

What type of triangle does not have a 90° angle?

<p>Oblique triangle (A)</p> Signup and view all the answers

Flashcards are hidden until you start studying

Study Notes

Properties of Triangles

  • An acute triangle is defined by having all three angles acute (less than 90°).
  • In a Euclidean triangle, it is impossible to have more than one obtuse angle (greater than 90°) due to the angle sum property of a triangle (180°).
  • In an acute triangle, the orthocenter (the point where the three altitudes intersect) and circumcenter (the center of the circumscribed circle) are located within the triangle.
  • The point where the three altitudes of a triangle intersect is called the orthocenter.
  • Acute triangles are characterized by not having a 90° angle (right angle).

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team
Use Quizgecko on...
Browser
Browser