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 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 area of a square with a side length of 6 cm?

Back

36 cm² (Area = side² = 6² = 36).

Tags

CCSS.4.MD.A.3

CCSS.3.MD.C.7B

Front

If a = 5 and b = 7, what is the area of square C?

Back

74 (Area = a² + b² = 5² + 7² = 25 + 49 = 74).

Tags

CCSS.8.G.B.8

Front

What is the area of the third square if the area of the first square is 25 in² and the area of the second square is 169 in²?

Back

144 in²

Front

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

Back

Area = side².

Tags

CCSS.4.MD.A.3

CCSS.3.MD.C.7B

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

144 in²

Tags

CCSS.4.MD.A.3

CCSS.3.MD.C.7B

Front

What is the length of the longest side of a triangle with sides measuring 5 cm and 7 cm?

Back

6.7 cm (using the Pythagorean theorem).

Front

What is the relationship between the sides of a right triangle?

Back

The lengths of the sides must satisfy the Pythagorean theorem: c² = a² + b².

Tags

CCSS.8.G.B.8

Front

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

Back

√45 in = 6.7 in (approximately).

Tags

CCSS.4.MD.A.3

CCSS.3.MD.C.7B