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 works on right triangles.

Front

If a right triangle has one side measuring 3 cm and another side measuring 4 cm, what is the length of the hypotenuse?

Back

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

Front

True or False: The Pythagorean Theorem can be used for obtuse triangles.

Back

False.

Front

What is the formula for the Pythagorean Theorem?

Back

a² + b² = c².

Front

If b = 35 and c = 37, what is the value of a in the equation a² + b² = c²?

Back

a = 12.

Front

Find the value of the unknown side if one side is 5 cm and the hypotenuse is 13 cm.

Back

Using the Pythagorean Theorem: a² + 5² = 13²; a² + 25 = 169; a² = 144; a = 12 cm.

Front

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

Back

The sum of the squares of the two shorter sides equals the square of the longest side (hypotenuse).

Front

If a triangle has sides measuring 6 cm, 8 cm, and 10 cm, is it a right triangle?

Back

Yes, because 6² + 8² = 10² (36 + 64 = 100).

Front

What is the hypotenuse of a right triangle with legs measuring 12 cm and 16 cm?

Back

Using the Pythagorean Theorem: 12² + 16² = c²; 144 + 256 = c²; 400 = c²; c = 20 cm.