Pythagorean Theorem and its Converse

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). Formula: a² + b² = c².

Front

What is a right triangle?

Back

A triangle that has one angle measuring 90 degrees.

Front

How can you determine if a triangle is a right triangle using the Pythagorean Theorem?

Back

If the lengths of the sides satisfy the equation a² + b² = c², then the triangle is a right triangle.

Front

What is an acute triangle?

Back

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

Front

What is an obtuse triangle?

Back

A triangle that has one angle measuring more than 90 degrees.

Front

What does it mean if a set of three lengths cannot form a triangle?

Back

If the sum of the lengths of any two sides is less than or equal to the length of the third side, then those lengths cannot form a triangle.

Front

Given sides 2.1, 7.2, and 7.5, is this a right triangle?

Back

Yes, because 2.1² + 7.2² = 7.5².

Front

Given sides 9, 8, and 7, what type of triangle is formed?

Back

Acute Triangle, because all angles are less than 90 degrees.

Front

Can sticks of lengths 10cm, 11cm, and 13cm form a right triangle?

Back

No, because 10² + 11² does not equal 13².

Front

What is the relationship between the sides of a triangle?

Back

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