Squared What?
What is the Pythagorean Theorem formula?
a2+b2=c2
Jennie puts two toothpicks in the shape of an "L". One toothpick is longer than the other. Their lengths are 3 centimeters and 4 centimeters. How long would a third toothpick have to be to connect the ends of the first two toothpicks?
5 centimeters
What is the only kind of triangle that you can use the Pythagorean Theorem on?
Right Triangle
Jonathan drives from his house due north for 6 miles. He then turns right and drives due east for 8 miles until he reaches his friends house. How far is it from his friend's house directly back to his house?
10 miles
What are the a and b sides of a right triangle called?
legs
A cone has a base length of 20 inches and a diagonal length of 42 inches. Rounded to the nearest tenths place, how tall is the cone?
36.9 inches
What is the c side of a right triangle called?
the hypotenuse
Riley and Sarah decided to go for a run. They run north for 6 miles and then go east for 8 miles. Find the shortest distance they would need to run to get back home.
What is 10 miles
Jonathan is racing against Micah. The streets they are running on run perpendicular to one another. They will first run down Main St. for 6 blocks and then turn right down Vine St. for 4 more blocks. They will then take a short cut back to the starting line by running straight back to it. How far would they run in total rounded to the tenths place?
17.2 blocks
Find the square root of 2416 to the nearest tenths place
49.2
What's the difference in solving for a missing "a" or "b" side, compared to solving for a missing "c" side of a right triangle? (what math steps from start to finish)
Possible version:
Add the squared a and b sides and then find their total's square root.
Subtract the squared c value and the squared a or b value. Then find that difference's square root.
You leave home to go to work. You drive on a straight road for 16 miles. You turn left at an intersection and drive straight for another 30 miles. There is also a straight road that leads you directly from work back to your home. How long is that road?
What is 34?
Ms. Green tells you that a right triangle has a hypotenuse of 53 and a leg of 28. She asks you to find the other leg of the triangle.
What is 45?
The front of Rover's dog house has a triangular entrance that has the dimensions of an isosceles, and needs a screen to cover it. If the base of the entrance is 6 feet wide and diagonal length is 5 feet, how many square feet of material will be needed to cover the entrance to Rover's dog house?
***Remember: area of a triangle = 1/2 base x height
12 square feet