Pythagorean Review

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 can be expressed as: a² + b² = c².

Tags

CCSS.8.G.B.8

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem only applies to right triangles.

Tags

CCSS.8.G.B.8

Front

What is the longest side of a right triangle called?

Back

The longest side of a right triangle is called the hypotenuse.

Front

If one leg of a right triangle is 5 cm and the other leg is 12 cm, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: 5² + 12² = c²; 25 + 144 = c²; 169 = c²; c = 13 cm.

Tags

CCSS.8.G.B.7

Front

What is a right triangle?

Back

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

Tags

CCSS.4.G.A.2

Front

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

Back

To determine if a triangle is a right triangle, check if the squares of the lengths of the two shorter sides add up to the square of the length of the longest side.

Tags

CCSS.8.G.B.8

Front

What is the distance formula used for?

Back

The distance formula is used to find the distance between two points in a coordinate plane. It is derived from the Pythagorean Theorem.

Tags

CCSS.HSG.GPE.B.7

Front

If the coordinates of two points are (3, 4) and (7, 1), what is the distance between them?

Back

Using the distance formula: d = √((x2 - x1)² + (y2 - y1)²); d = √((7 - 3)² + (1 - 4)²) = √(16 + 9) = √25 = 5.

Tags

CCSS.HSG.GPE.B.7

Front

What is a scalene triangle?

Back

A scalene triangle is a triangle in which all three sides have different lengths.

Tags

CCSS.4.G.A.2

Front

What is an isosceles triangle?

Back

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

Tags

CCSS.4.G.A.2