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 the area of square b is 144 ft², what is the length of side b?

Back

The length of side b is 12 ft, since the area of a square is calculated as side², so √144 = 12.

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

Front

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

Back

The area is 25 ft², calculated as side² = 5² = 25.

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

Front

If the area of square a is 45 in², what is the length of side a?

Back

The length of side a is √45, which is approximately 6.7 in.

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

Front

What is the area of a square with a side length of 13 ft?

Back

The area is 169 ft², calculated as side² = 13² = 169.

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

Front

In a right triangle with sides 10, 24, and 26, which side is the hypotenuse?

Back

The hypotenuse is the longest side, which is 26.

Tags

CCSS.HSG.CO.C.10

Front

If the area of the blue square is 25 in² and the area of the green square is 169 in², what is the area of the yellow square?

Back

The area of the yellow square is 144 in², calculated as 169 - 25 = 144.

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

Front

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

Back

The formula to find the area of a square is Area = side².

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

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

The area of square c is 110 in², calculated as 45 + 65 = 110.

Tags

CCSS.3.MD.C.7D

Front

What is the relationship between the areas of squares in a right triangle?

Back

The sum of the areas of the two smaller squares (a² and b²) equals the area of the largest square (c²) on the hypotenuse.

Tags

CCSS.8.G.B.8