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 can be 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 triangle has sides of lengths 7, 24, and 25, is it a right triangle?

Back

Yes, it is a right triangle because 7² + 24² = 25² (49 + 576 = 625).

Front

What is the length of the hypotenuse if the legs are 3 cm and 4 cm?

Back

The length of the hypotenuse is 5 cm, calculated using the Pythagorean Theorem: 3² + 4² = 5² (9 + 16 = 25).

Front

What is the relationship between the areas of squares on the sides of a right triangle?

Back

The sum of the areas of the squares on the two legs (sides) of a right triangle is equal to the area of the square on the hypotenuse.

Front

What is a right angle?

Back

A right angle is an angle that measures exactly 90 degrees.

Front

What are the legs of a right triangle?

Back

The legs of a right triangle are the two sides that form the right angle.

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

Can the Pythagorean Theorem be used for obtuse triangles?

Back

No, the Pythagorean Theorem only applies to right triangles.

Front

If one leg of a right triangle is 6 cm and the other leg is 8 cm, what is the length of the hypotenuse?

Back

The length of the hypotenuse is 10 cm, calculated as follows: 6² + 8² = c² (36 + 64 = 100, so c = 10).