CT 12/10/24 Pythagorean & Converse

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that 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). It is expressed as a² + b² = c².

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

What is the hypotenuse of a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

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

Back

To determine if three sides can form a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Front

What type of triangle is formed by sides 7, 24, and 25?

Back

The sides 7, 24, and 25 form a right triangle.

Front

What type of triangle is formed by sides 4, 8, and 10?

Back

The sides 4, 8, and 10 form an obtuse triangle.

Front

What is an acute triangle?

Back

An acute triangle is a triangle where all three angles are less than 90 degrees.

Front

What is an obtuse triangle?

Back

An obtuse triangle is a triangle that has one angle greater than 90 degrees.

Front

What is the relationship between the sides of a right triangle?

Back

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 sides of lengths 5, 12, and 13, what type of triangle is it?

Back

The triangle with sides of lengths 5, 12, and 13 is a right triangle.