Show:
Using the Pythagorean Theorem
Finding Area
Rational and Irrational Numbers
Analyzing Triangles
Finding Perimeter
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 shape 1.
19 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
If I take a equilateral triangle, with sides labeled s, and I draw a line down the middle of it, what 2 equations allow me to find the 2 leg measurements?
The equation to find the leg in the middle is s/2 times the square root of 3. The formula to find the other leg would be s/2.
100
Pick a question out of the box. Good luck.
Answer to be determined.
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 area of shape 2.
11 units.
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 Pythagorean Theorem works on all triangles.
False: The Pythagorean Theorem only works on right triangles.
200
Find the perimeter of triangle 1.
10.24 units.
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
Create a triangle with an area of 13 on graph paper.
Create a rectangle with side lengths of 2 and 13 and draw a diagonal line from one end to the other. Each triangle will have an area of 13.
300
If the following numbers had a radical sign over them, would they be rational or irrational and why? 5, 13, 15, 12, 23, 24
They would be irrational because if you take the square root of any number that is not a perfect square, you get a decimal that goes on infinitely.
300
Fun word problem: Mrs. Owen ordered 500 chicken wings to be shared equally among 250 guests invited to her wedding anniversary party. However, the turnout was less than expected, and every guest ate one more chicken wing than originally planned. If there were 92 wings left after the party, how many people attended Mrs. Owen's party?
136 people attended Mrs. Owen's party.
300
Find the perimeter of triangle 2.
10.47 units.
400
****DAILY DOUBLE**** Mario lives in the city of Euclid at coordinate point (6, 2). How many blocks away is Mario from City Hall? If Mario took a helicopter to his house, what would be the new distance?
Answer 1: 8 blocks Answer 2: The distance would be the square root of 40 or 6.3245...
400
A 30, 60, 90 triangle has a hypotenuse with the length of 8. What is the area of the figure?
13.85 units.
400
Define a real number. Give an example.
A real number is the set of irrational and rational numbers. Any number can be accepted as an example.
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
A 30, 60, 90 triangle has a leg with the length of 2, what is the perimeter?
9.46 units.
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 7 blocks total.
500
Create an object with an area of 17 square units.
Prove on graph paper.
500
Is this fraction an irrational or rational number? 4/32083 and why?
Rational because anything that can be expressed as a ratio is a rational number because it terminates.
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 and use a label.
The catcher will need to throw the ball 84.8 feet.
500
A 30, 60, 90 triangle has a hypotenuse with a length of 6, what is the perimeter?
14.19 units.