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). Formula: 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 one side of a right triangle is 3 cm and the other side is 4 cm, what is the length of the hypotenuse?

Back

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

Front

What is the formula for the Pythagorean Theorem?

Back

The formula is a² + b² = c².

Front

In a right triangle, if the lengths of the two legs are 5 cm and 12 cm, what is the length of the hypotenuse?

Back

c² = 5² + 12² = 25 + 144 = 169. Therefore, c = 13 cm.

Front

What is the length of the diagonal of a rectangle with a length of 40 yards and a width of 30 yards?

Back

Using the Pythagorean Theorem: c² = 40² + 30² = 1600 + 900 = 2500. Therefore, c = 50 yards.

Front

If a right triangle has a hypotenuse of 10 cm and one leg of 6 cm, what is the length of the other leg?

Back

Using the Pythagorean Theorem: 10² = 6² + b². Therefore, 100 = 36 + b², so b² = 64, and b = 8 cm.

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

Can the Pythagorean Theorem be used for obtuse triangles?

Back

No, the Pythagorean Theorem only applies to right triangles.

Front

If the lengths of the legs of a right triangle are equal, what type of triangle is it?

Back

It is an isosceles right triangle.