Pythagorean Theorem

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

Right triangle.

Front

State the Pythagorean Theorem formula.

Back

a² + b² = c², where c is the hypotenuse.

Front

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

Back

5 units.

Front

What is the hypotenuse in a right triangle?

Back

The longest side opposite the right angle.

Front

How can the Pythagorean Theorem be used in real-life situations?

Back

To determine distances, such as the height of a ladder against a wall.

Front

Calculate the diagonal distance of a rectangle with sides 6 units and 8 units.

Back

10 units.

Front

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

Back

The square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Front

If a right triangle has legs of lengths 5 and 12, what is the length of the hypotenuse?

Back

13 units.

Front

What is the distance formula derived from the Pythagorean Theorem?

Back

Distance = √((x2 - x1)² + (y2 - y1)²).

Front

In a right triangle, if the hypotenuse is 10 units and one leg is 6 units, what is the length of the other leg?

Back

8 units.