Unit 6a CW

Front

What is the definition of a triangle?

Back

A triangle is a polygon with three edges and three vertices.

Front

What are the types of triangles based on side lengths?

Back

Equilateral, Isosceles, and Scalene.

Front

What are the types of triangles based on angles?

Back

Acute, Right, and Obtuse.

Front

What is the Pythagorean theorem?

Back

In a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².

Front

How can you determine if three lengths can form a triangle?

Back

The sum of the lengths of any two sides must be greater than the length of the third side.

Front

What is an acute triangle?

Back

A triangle where all three angles are less than 90 degrees.

Front

What is a right triangle?

Back

A triangle that has one angle equal to 90 degrees.

Front

What is an obtuse triangle?

Back

A triangle that has one angle greater than 90 degrees.

Front

If a triangle has sides of lengths 4, 5, and 6, what type of triangle is it?

Back

Acute.

Front

If a triangle has sides of lengths 6, 9, and 17, can it exist?

Back

No, it cannot exist (not a triangle).