Pythagorean theorem - Finding Missing Sides

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: c² = a² + b².

Front

What is the longest side of a right triangle called?

Back

The longest side of a right triangle is called 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

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

Front

What is the formula to find the length of a missing side in a right triangle?

Back

To find the length of a missing side, use the Pythagorean theorem: c² = a² + b², where c is the hypotenuse and a and b are the other two sides.

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

The length of the other leg is 8 units, calculated as follows: 10² = 6² + b², so b² = 100 - 36 = 64, thus b = 8.

Front

What do you call the two shorter sides of a right triangle?

Back

The two shorter sides of a right triangle are called the legs.

Front

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

Back

The length of the hypotenuse is 13 units, calculated using the Pythagorean theorem: 13² = 5² + 12².

Front

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

Back

The relationship is that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Front

If a right triangle has legs of lengths 8 units and 15 units, what is the length of the hypotenuse?

Back

The length of the hypotenuse is 17 units, calculated as follows: 17² = 8² + 15².

Front

What is the value of x if one leg is 9 units and the hypotenuse is 15 units?

Back

The value of x (the other leg) is 12 units, calculated using the Pythagorean theorem: 15² = 9² + x².