Pythagorean Theorem Partner Flashcard Lesson 2.7

Front

Define the term 'right angle'

Back

A 90 degree angle.

Front

What is the Pythagorean Theorem?

Back

In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. (a² + b² = c²)

Front

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

Back

5 feet.

Front

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

Back

c = √(a² + b²) where c is the hypotenuse and a and b are the legs.

Front

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

Back

Use the Pythagorean Theorem: a² + b² = c².

Front

If a ladder is placed 10 feet away from a wall and reaches a height of 27 feet, what is the length of the ladder?

Back

27 feet.

Front

What is the distance across the diagonal of a square with sides of 90 feet?

Back

127.3 feet.

Front

If one leg of a right triangle is 15 feet and the hypotenuse is 21 feet, how do you find the other leg?

Back

Use the equation: 21² - 15² = x².

Front

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

Back

The sum of the squares of the two legs equals the square of the hypotenuse.

Front

What is the value of x if 15² + 21² = x²?

Back

x = √(15² + 21²) = √(225 + 441) = √666 = 25.8 feet.