CP GEO Pythagorean Theorem DO NOW

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). Formula: a² + b² = c².

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem only applies to right triangles.

Front

If a right triangle has legs of lengths 3 and 4, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: 3² + 4² = c²; 9 + 16 = c²; c² = 25; c = 5.

Front

Can a triangle be formed with sides of lengths 4, 7, and 11?

Back

No, a triangle cannot be formed with these lengths because the sum of the lengths of any two sides must be greater than the length of the third side.

Front

What is the classification of a triangle with sides 6, 15, and 17?

Back

The triangle is obtuse because 6² + 15² < 17².

Front

Which set of sides forms a right triangle: 4, 5, 6 or 5, 12, 13?

Back

The set 5, 12, 13 forms a right triangle because 5² + 12² = 13².

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 a scalene triangle?

Back

A scalene triangle is a triangle with all sides of different lengths.

Front

What is an isosceles triangle?

Back

An isosceles triangle is a triangle with at least two sides of equal length.