Mastering Triangles

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8 Questions

List three types of triangles based on their sides.

Scalene triangle, Isosceles triangle, Equilateral triangle

What is the definition of an obtuse triangle?

An obtuse triangle has one angle that is greater than 90 degrees and two angles that are each less than 90 degrees.

Why are triangles important in geometry?

Triangles are important in geometry because many geometry proofs rely on triangle congruence theorems and because right triangles are the basis for trigonometry and the Pythagorean theorem.

What are the properties of a triangle?

The properties of a triangle include sides, angles, vertices, base, and height.

How can triangles be categorized in geometry?

Triangles can be categorized based on sides or based on angles.

What formula should be used to find a side of a right triangle when the other two sides are known?

Use the Pythagorean theorem.

What formula should be used to find an angle of a right triangle?

Use SOH CAH TOA.

What formula should be used to find an angle of a non-right triangle?

Use the law of sines or the law of cosines.

Test your knowledge of triangles in geometry with this quiz! Explore the definition of a triangle, its properties, and its role in geometry proofs and problem-solving. Brush up on triangle congruence theorems, trigonometry, and the Pythagorean theorem. Challenge yourself and become a triangle expert!

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