Pythagorean Theorem

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: a² + b² = c².

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem only applies to right triangles.

Front

If a = 3 and b = 4, what is c in the Pythagorean Theorem?

Back

Using the Pythagorean Theorem: c² = a² + b² = 3² + 4² = 9 + 16 = 25. Therefore, c = 5.

Front

What is the formula for the Pythagorean Theorem?

Back

The formula for the Pythagorean Theorem is a² + b² = c².

Front

Is the statement 'a² + b² + c²' correct for the Pythagorean Theorem?

Back

No, the correct statement is 'a² + b² = c²'.

Front

Is the statement 'a² + b³ = c⁴' correct for the Pythagorean Theorem?

Back

No, the correct statement is 'a² + b² = c²'.

Front

What equation can be used to solve for x if a = 14 and c = 20?

Back

The equation is x² + 14² = 20².

Front

What is 19²?

Back

19² = 361.

Front

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

Back

In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Front

Can the Pythagorean Theorem be used for obtuse triangles?

Back

No, the Pythagorean Theorem only applies to right triangles.