Right, Acute, or Obtuse?

Front

What are the three types of triangles based on their angles?

Back

Right triangle, acute triangle, obtuse triangle.

Front

What defines a right triangle?

Back

A triangle with one angle measuring exactly 90 degrees.

Front

What defines an acute triangle?

Back

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

Front

What defines an obtuse triangle?

Back

A triangle with one angle measuring more than 90 degrees.

Front

How can you determine if a triangle is a right triangle using side lengths?

Back

Use the Pythagorean theorem: a² + b² = c², where c is the longest side.

Front

What is the Pythagorean theorem?

Back

A mathematical principle stating that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Front

If a triangle has side lengths 9, 12, and 15, what type of triangle is it?

Back

It is a right triangle.

Front

If a triangle has side lengths 20, 21, and 28, what type of triangle is it?

Back

It is an acute triangle.

Front

If a triangle has side lengths 5, 14, and 16, what type of triangle is it?

Back

It is an obtuse triangle.

Front

What is the relationship between the angles and the type of triangle?

Back

The type of triangle is determined by the measures of its angles: right (90°), acute (<90°), obtuse (>90°).