Pythagorean Theorem Review

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 is the hypotenuse in a right triangle?

Back

The hypotenuse is the side opposite the right angle in a right triangle and is the longest side.

Front

If one leg of a right triangle is 4 and the hypotenuse is 5, what is the length of the other leg?

Back

Using the Pythagorean Theorem: A² + 4² = 5²; A² + 16 = 25; A² = 9; A = 3.

Front

Who is Pythagoras?

Back

Pythagoras was an ancient Greek mathematician and philosopher known for his contributions to mathematics, particularly the Pythagorean Theorem.

Front

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

Back

The formula is A² + B² = C², where A and B are the lengths of the legs and C is the length of the hypotenuse.

Front

In a right triangle, if A = 6 and C = 10, what is B?

Back

Using the Pythagorean Theorem: 6² + B² = 10²; 36 + B² = 100; B² = 64; B = 8.

Front

What does it mean for a triangle to be a right triangle?

Back

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

Front

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

Back

Using the Pythagorean Theorem: 5² + 5² = C²; 25 + 25 = C²; 50 = C²; C = √50 or approximately 7.07.

Front

What is the relationship between the sides of a 3-4-5 triangle?

Back

In a 3-4-5 triangle, the lengths of the sides satisfy the Pythagorean Theorem: 3² + 4² = 5².

Front

What is the significance of the Pythagorean Theorem in real life?

Back

The Pythagorean Theorem is used in various fields such as construction, navigation, and physics to calculate distances and angles.