Pythagorean Theorem Models

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: c² = a² + b².

Tags

CCSS.8.G.B.8

Front

If a = 5 cm and b = 12 cm, what is the value of c squared?

Back

169 cm²

Tags

CCSS.8.G.B.8

Front

What is the area of a square with side length 5 inches?

Back

The area is 25 in² (Area = side²).

Tags

CCSS.4.MD.A.3

CCSS.3.MD.C.7B

Front

If the area of square A is 25 in² and the area of square B is 169 in², what is the area of square C?

Back

144 in²

Tags

CCSS.4.MD.A.3

CCSS.3.MD.C.7B

Front

What is the formula to find the area of a square?

Back

Area = side length × side length.

Tags

CCSS.4.MD.A.3

CCSS.3.MD.C.7B

Front

If the area of square A is 45 in² and the area of square B is 65 in², what is the area of square C?

Back

110 in²

Front

What is the length of the hypotenuse if a = 5 cm and b = 12 cm?

Back

13 cm (using the Pythagorean Theorem: c = √(a² + b²)).

Tags

CCSS.8.G.B.8

Front

What is the relationship between the areas of squares formed on the sides of a right triangle?

Back

The area of the square on the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

Tags

CCSS.8.G.B.8

Front

If 231 square feet of paint was used to paint two squares, how much paint would be needed to paint a third square of the same area?

Back

231 ft²

Tags

CCSS.6.G.A.4

Front

What is the value of c if a = 6 cm and b = 8 cm?

Back

10 cm (c = √(6² + 8²)).

Tags

CCSS.8.G.B.8