Vocabulary
Solving for legs
Solving for Hypotenuse
Pieces of the Formula
Solve the Side Length
100
These are often known as the two shorter sides of a right triangle.
What are legs?
100
This is the measure of the missing leg when one leg=3 and the hypotenuse=5.
What is 4?
100
This is the measure of the hypotenuse when leg=3 and the other leg=4.
What is 5?
100
These are often represented by the letters "a" and "b" when naming sides of a right triangle.
What is a leg?
100
Steve is turning half of his backyard into a chicken pen. His backyard is a 24 meter by 45-meter rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner.
How many meters of fencing will Steve need?
The answer is: 51.
How it's solved: square root 452 + 242
200
This is the longest side of a right triangle.
What is a hypotenuse?
200
This is the measure of the missing leg when one leg=6 and the hypotenuse=10.
What is 8?
200
This is the measure of the hypotenuse one leg=3 and the other leg=5.
What is the square root of 34?
200
This is the letter in the pythagorean theorem that stands for the length of the hypotenuse.
What is "c?"
200
A zip line starts on a platform that is 40 meters above the ground. The anchor for the zip line is 198 horizontal meters from the base of the platform.
How long is the zip line?
The answer is: 202
How to solve: square root 1982 + 402
300
This is the formula for the Pythagorean Theorem
What is a2+b2=c2?
300
This is the measure of the missing leg when one leg=5 and the hypotenuse=13.
What is 12?
300
This is the measure of the hypotenuse one leg=6 and the other leg=7.
What is the square root of 85?
300
This is a term used when describing a number being multiplied by itself.
What is squared?
300
Hawick is 15 kilometers south of Abbotsford, and Kelso is 17 kilometers east of Abbotsford.
What is the distance from Hawick to Kelso?
The answer is: 22.7
How to solve: square root 152 + 172 = square root 514 but, in decimal it will be 22.7
400
The man who is credited for creating a theorem to solve for the sides of right triangles.
Who is Pythagoras?
400
This is the measure of the missing leg when one leg=7 and the hypotenuse=25.
What is 24?
400
This is the measure of the hypotenuse one leg=10 and the other leg=9.
What is the square root of 181?
400
This is the side that always has the longest length in a right triangle.
What is the hypotenuse?
400
Kali has a 6 meter ladder that she wants to use to get her cat out of a tree. She puts the base of the ladder 2 meters away from the base of the tree.
How high into the tree will the ladder reach?
The answer is:
2+x2=62
4+x2=36
x2=32 = square root of 32
≈5.657
500
This is the only type of triangle that the Pythagorean Theorem works on.
What is a right triangle?
500
This is the measure of the missing leg when one leg=21 and the hypotenuse=35.
What is 28?
500
This is the measure of the hypotenuse one leg=15 and the other leg=22.
What is the square root of 709?
500
This is the operation we use to cancel out an exponent of 2.
What is a square root?
500
What is the perimeter of the triangle?
The answer is: 13+12+5=30
How to solve: a2 + b2 = c2
52 + 122 = c2
25 + 144 = c2
169 = c2
13= C