Pythagorean Flashcard Review

Front

Does the set of numbers represent a right triangle? 20, 25, 15

Back

Yes, because 20² + 15² = 25².

Front

The Pythagorean Theorem ONLY works on which triangle?

Back

Right triangle.

Front

Which equation is modeled by the picture shown? 3² + 4² = ?

Back

3² + 4² = 5².

Front

If a computer monitor is 27 inches diagonally and 15 inches in height, what is the width?

Back

22 inches.

Front

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

Back

Use the Pythagorean theorem: Ladder height = √(25² + 10²) = 26.93 feet.

Front

What is the Pythagorean Theorem?

Back

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

Front

What are the sides of a right triangle called?

Back

The two shorter sides are called legs, and the longest side is called the hypotenuse.

Front

If one leg of a right triangle is 6 and the other leg is 8, what is the length of the hypotenuse?

Back

10, because 6² + 8² = 10².

Front

What is the relationship between the sides of a 30-60-90 triangle?

Back

The sides are in the ratio 1:√3:2.

Front

What is the relationship between the sides of a 45-45-90 triangle?

Back

The sides are in the ratio 1:1:√2.