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

If c² = 289 cm² and a = 8 cm, what is b?

Back

b = 15 cm.

Front

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

Back

To find the length of the hypotenuse (c), use the formula c = √(a² + b²).

Front

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

Back

The area of square c is 169 ft².

Front

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

Back

In a right triangle, the lengths of the sides are related by the Pythagorean Theorem: c² = a² + b².

Front

If c² = 625 cm² and b = 24 cm, what is a?

Back

a = 7 cm.

Front

How far does the catcher throw the ball from home plate to 2nd base if the distance is 127.3 ft?

Back

The distance thrown is 127.3 ft.

Front

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

Back

The area is 25 ft² (Area = side²).

Front

If the area of square a is 45 in² and square b is 65 in², what is the area of square c?

Back

The area of square c is 110 in².

Front

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

Back

Area = side length × side length.