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: c² = a² + b².

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem ONLY works on right triangles.

Front

If a triangle has sides of lengths 15, 12, and 9, does it form a right triangle?

Back

Yes, it forms a right triangle.

Front

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

Back

No, the correct formula is c² = a² + b².

Front

Does the set of numbers 20, 25, and 15 represent a right triangle?

Back

Yes, they represent a right triangle.

Front

What is the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

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

Back

c = 5, because 3² + 4² = 9 + 16 = 25, and √25 = 5.

Front

Can the Pythagorean Theorem be used for obtuse triangles?

Back

No, the Pythagorean Theorem only applies to right triangles.

Front

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

Back

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

Front

If c = 10 and a = 6, what is b?

Back

b = 8, because 10² = 6² + b², so 100 = 36 + b², thus b² = 64 and b = 8.