7.1/7.2 Practice

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 is expressed as a² + b² = c².

Front

What are the legs of a right triangle?

Back

The legs of a right triangle are the two sides that form the right angle. They are usually referred to as sides a and b.

Front

If a = 2.1 and b = 7.2, what is c in a right triangle?

Back

c = 7.5, confirming that it is a right triangle since a² + b² = c².

Front

Do the side lengths 81, 80, and 13 form a right triangle?

Back

No, they do not form a right triangle because 81² + 13² does not equal 80².

Front

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

Back

The formula is c = √(a² + b²).

Front

If a = 12 and b = 35, what is c?

Back

c = 37, calculated using the Pythagorean Theorem.

Front

What does it mean if a triangle is a right triangle?

Back

A right triangle has one angle that measures exactly 90 degrees.

Front

Can a triangle with sides 5, 12, and 13 be classified as a right triangle?

Back

Yes, because 5² + 12² = 13².

Front

What is the relationship between the sides of a right triangle?

Back

In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Front

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

Back

It is used in various fields such as construction, navigation, and physics to determine distances and angles.