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 is expressed as: c² = a² + b².

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem applies specifically to right triangles.

Front

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

Back

7 cm

Front

Which equation represents the relationship between the sides of a right triangle with sides 3 cm, 4 cm, and 5 cm?

Back

3² + 4² = 5²

Front

If a = 5 cm and b = 12 cm, what is the value of c²?

Back

169 cm²

Front

If the area of c² is 289 cm² and the length of a is 8 cm, what is the length of b?

Back

15 cm

Front

What is the formula to find the length of the hypotenuse in a right triangle?

Back

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

Front

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

Back

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

Front

What is the value of c if a = 6 cm and b = 8 cm?

Back

10 cm (c = √(6² + 8²) = √(36 + 64) = √100 = 10 cm).

Front

If a triangle has sides of lengths 5 cm, 12 cm, and 13 cm, is it a right triangle?

Back

Yes, because 5² + 12² = 25 + 144 = 169 = 13².