Flashcard - Special Right / Pythg Thm

Front

What is the formula used for the Pythagorean Theorem?

Back

a² + b² = c²

Front

What type of special right triangle has angles of 45°, 45°, and 90°?

Back

Isosceles right triangle

Front

If one leg of a 45-45-90 triangle is 9, what is the length of the hypotenuse?

Back

9√2

Front

In a 30-60-90 triangle, if the short leg is 'n', what is the length of the long leg?

Back

n√3

Front

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

Back

Short leg : Long leg : Hypotenuse = 1 : √3 : 2

Front

If the hypotenuse of a right triangle is 18 km, what is the length of one leg if the other leg is 15 km?

Back

√(18² - 15²) = 9 km

Front

What is the length of the short leg in a 30-60-90 triangle if the hypotenuse is 12?

Back

6

Front

In a 45-45-90 triangle, if the hypotenuse is 20, what is the length of each leg?

Back

10√2

Front

What is the formula to find the missing side of a right triangle using the Pythagorean Theorem?

Back

c² = a² + b²

Front

If a triangle has sides of lengths 9, 12, and 15, is it a right triangle?

Back

Yes, because 9² + 12² = 15².