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: a² + b² = c².

Front

If the area of square b is 144 ft² and the length of side a is 5 ft, what is the area of square c?

Back

169 ft²

Front

Which equation is modeled by the picture shown? (3² + 4² = ?²)

Back

3² + 4² = 5²

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

Front

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

Back

74

Front

What is the area of square b in the figure shown?

Back

576 in²

Front

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

Back

Area = side², where 'side' is the length of one side of the square.

Front

What is the relationship between the sides of a right triangle according to the Pythagorean Theorem?

Back

In a right triangle, the sum of the squares of the two shorter sides equals the square of the longest side (hypotenuse).

Front

How do you calculate the length of the hypotenuse in a right triangle?

Back

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

Front

What is the area of a square with a side length of 10 units?

Back

Area = 10² = 100 square units.