Show:
Using the Pythagorean Theorem
Finding Area
Rational and Irrational Numbers
Analyzing Triangles
Roots
100
What is the hypotenuse length of a right triangle that has the following measurements for its legs: Leg 1: 4 Leg 2: 6
Answer: Square root of 52
100

Find the area of a square with sides of square root 5.

5 units.

100

What is a rational number? Give an example.

A rational number is any real number that terminates or repeats within the decimal is a rational number. Give Example.

100

State the Pythagorean Theorem.  

a squared + b squared = c squared

100

What is the square root of 4?

2

200
What is the area of a leg of a right triangle that has the other following measurements lengths: Leg 1: 9 Hypotenuse: 13
The area of the other legs square is 88 square units.
200

Find the exact side length of a square that has an area of 17.

square root of 17

200

What is an irrational number?

An irrational number is a number with non-terminating and non-repeating decimal representations. They cannot be expressed as ratios of integers. Give Example.

200

True or False: The measurements 5, 6, and 7 form a triangle.

True

200

What is 1/2 cubed?  

1/8

300

Find the length of the missing measurement: Leg 1: 13 Hypotenuse: 17

Leg 2's length is the square root of 120 units.

300
A triangle has a hypotenuse of 5 and one leg of 4.  What is its area?  

6 square units.

300

If the following numbers had a radical sign over them, which of the following would be rational? 5, 13, 15, 12, 23, 24

All of them.

300

Which of these measures form right triangles?

A:  1, 1, 2

B:  3, 4, 5

C:  5, 12, 13

D:  2, 3, 13


B and C

300

Name a number that is both a perfect square and a perfect cube.  

1 and 64.  Maybe others.  

400

If an isosceles triangle has a hypotenuse of 10.  What would the length of each side be?  

square root 50.  

400

An isosceles triangle has a hypotenuse of 2.  What is the area?  

.5 units.  

400

Express the rational number .18181818... as fraction in simplest terms.

3/11

400

Draw an equilateral triangle. Each side has a length of 18m. If I drew a line with down the middle of the equilateral, what would be its length? Length must be simplified.

It would have a length of 9 square root 3.

400

Find an equivalent square root to 5 square root 3?  

square root 75

500

In the city of Euclid, Sheryl lives at point (-4, 4), Becky lives at point (-4, 0), and Johnny lives at (-7,0). Becky wants to walk to Johnny's and then walk to Sheryl's using a shortcut, what is the shortest distance, in blocks, that Becky will travel?

Becky will travel 8 blocks total.

500

A 30, 60, 90 triangle has a hypotenuse with the length of 8. What is the area of the figure?

13.85 units.

500

Express the value pi as an exact fraction.  

It is not possible as pi is irrational.  
500

If a little league baseball team plays on a diamond with each distance between the bases at 60 ft, how far must the catcher throw the ball to get someone out at second? Round to the nearest tenth.

The catcher will need to throw the ball 84.8 feet.

500

Express the square root of 8/50 as an exact fraction.  

2/5