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 is expressed as: a² + b² = c².

Tags

CCSS.8.G.B.8

Front

Which triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem ONLY works on right triangles.

Tags

CCSS.8.G.B.8

Front

Identify a set of sides that can form a right triangle.

Back

The set of sides 5, 12, and 13 can form a right triangle.

Tags

CCSS.8.G.B.8

Front

If a computer monitor is 27 inches diagonally and 15 inches in height, what is the width?

Back

The width of the screen is approximately 22 inches.

Tags

CCSS.8.G.B.8

Front

What is the formula to find the length of the hypotenuse in a right triangle?

Back

The formula is c = √(a² + b²), where c is the hypotenuse and a and b are the other two sides.

Tags

CCSS.8.G.B.8

Front

What does it mean for a triangle to be right-angled?

Back

A right-angled triangle has one angle that measures exactly 90 degrees.

Tags

CCSS.4.G.A.2

Front

What is the relationship between the sides of a 3-4-5 triangle?

Back

In a 3-4-5 triangle, the sides satisfy the Pythagorean Theorem: 3² + 4² = 5².

Tags

CCSS.8.G.B.8

Front

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

Back

You can use the Pythagorean Theorem: if a² + b² = c² holds true for the side lengths, then the triangle is a right triangle.

Tags

CCSS.8.G.B.8

Front

What is the value of k if 3k = 15?

Back

k = 5.

Tags

CCSS.6.EE.B.7

Front

What is the area of a right triangle with base 6 and height 8?

Back

The area is 24 square units, calculated as (1/2) * base * height.

Tags

CCSS.6.G.A.1