Pythagorean Theorem

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse.

Front

What is a right triangle?

Back

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

Front

What is the formula for the Pythagorean Theorem?

Back

The formula is a² + b² = c², where c is the length of the hypotenuse and a and b are the lengths of the other two sides.

Front

If one leg of a right triangle is 3 and the other leg is 4, what is the length of the hypotenuse?

Back

The length of the hypotenuse is 5, calculated using the Pythagorean Theorem: 3² + 4² = 5².

Front

How do you find the length of a missing side in a right triangle?

Back

To find a missing side, rearrange the Pythagorean Theorem formula to solve for the unknown side.

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

What is the value of C if C² = 15?

Back

C is approximately 3.87, calculated by taking the square root of 15.

Front

What is the square root of 365?

Back

The square root of 365 is approximately 19.1.

Front

What is the relationship between the sides of a 30-60-90 triangle?

Back

In a 30-60-90 triangle, the lengths of the sides are in the ratio 1:√3:2.

Front

What is the relationship between the sides of a 45-45-90 triangle?

Back

In a 45-45-90 triangle, the lengths of the legs are equal, and the hypotenuse is √2 times the length of each leg.