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Comparing Angles and Sides in Triangles

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Practice Comparing Angles and Sides in Triangles
Best Score
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Triangle Sum Theorem Teacher Contributed

RWA Triangle Sum Theorem

Topic

Spherical Geometry

Vocabulary

• triangle sum theorem
• comparing angles and sides in triangles
• sphere
• Spherical Geometry

Student Exploration

Do the angles in a triangle always add up to 180 degrees? How are the lengths of the sides of a triangle are controlled by the sizes of the angles in Spherical Geometry?

Watch the video below to learn more

Extension Investigation

1. Students can make a presentation like the one below http://www.youtube.com/watch?v=b7DmUymGR28&feature=related
2. Virgo is one of the constellations of Zodaic. Three principal stars of the constellation form a triangle. If $m \angle S = 25$ and $m \angle P = 135$, then find the $m \angle V$. http://worksheets.tutorvista.com/angles-in-a-triangle-worksheet.html

Layering (optional)

How do we show that all of the angles the triangle add up to 180?

Watch these videos to see how