Period 2 Geometry

Special Right Triangles

100

What is the formula for finding the side lengths of a 45-45-90 right triangle?

The two legs are equal length. The hypotenuse is the length of the side times the square root of 2. 

200

What is the formula for finding the side lengths of a 30-60-90 right triangle?

The long leg is equal to the short leg times the square root of 3. The hypotenuse is twice the length of the short leg. 

300

The hypotenuse of a 30-60-90 triangles measures 20 inches. What is the length of each leg?

short leg is 10 in. long leg is 10 times the square root of 3.

Pythagorean Theorem

100

What is the formula for the Pythagorean Theorem?

a² + b² = c²

200

A 20 foot ladder is leaning against a 12 foot wall. What is the distance from the base of the ladder to the base of the wall?

16 feet

300

Is a triangle with side measures of 5, 12, and 13 a Pythagorean Triple? Prove your answer by showing calculations.

Yes.     25+144=169. 169=169.

400

What is a Pythagorean Triple?

When all 3 sides of a right triangle are whole numbers. 

Simplifying Radicals

400

What is the square root of 7225?

85

500

Is 379 times the square root of 2 a simplified radical?

Yes

Random Geometry

100

Triangles that have the same size and shape are _________________.

Congruent

200

Is it possible to have a triangle whose angles measure 61, 13 and 108 degrees? Why or why not?

No

Random Trivia

500

The original producer of Doctor Who, the TV series. 

Who is Verity Lambert?