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.

Front

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

Back

The area of a square is calculated using the formula: Area = side², where 'side' is the length of one side of the square.

Front

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

Back

The length of one side of square a is √45 ≈ 6.7 in.

Front

If the area of square b is 65 in², what is the length of one side?

Back

The length of one side of square b is √65 ≈ 8.1 in.

Front

What is the area of square c if the areas of squares a and b are 45 in² and 65 in² respectively?

Back

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

Front

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

Back

In a right triangle, the area of the square on the hypotenuse (c) is equal to the sum of the areas of the squares on the other two sides (a and b).

Front

If the area of square c is 1,369 cm², what is the length of one side?

Back

The length of one side of square c is √1369 = 37 cm.

Front

If the area of square b is 1,225 cm², what is the length of one side?

Back

The length of one side of square b is √1225 = 35 cm.

Front

What is the area of square b if the side length is 24 in?

Back

The area of square b is 24 in × 24 in = 576 in².

Front

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

Back

The area of c squared is 169 cm², calculated as 5² + 12² = 25 + 144.