Extension - Pythagoras and the Pythagorean Theorem

1 / 12

From 550 BC to 500 BC a Greek Mathematician name Pythagoras was busy examining triangles.
About how many years ago was Pythagoras at work?
1. 1500 years ago
2. 2000 years ago
3. 2500 years ago
4. 3000 years ago
By measuring the sides of right triangles and studying their mathematical relationships, Pythagoras was able to unlock an easy to use formula for finding the relationship between the side lengths of a right triangle.
Which of the following is a right triangle?
Take a look at the triangle on the right.
Pythagoras called sides a and b legs. Side c is the hypotenuse (hi paw ten noose).

Which side is across from the right angle?
1. a
2. b
3. c
Take a look at the triangle on the right.
Pythagoras discovered that a² + b² = c².

Using fact families, which equation below is the reverse of the Pythagorean Theorem?
1. a² + c² = b²
2. b² + c² = a²
3. c² - b² = a²
Look at the triangle on the right. What is the value of a²?
1. 6
2. 9
3. 15
Look at the triangle on the right. What is the value of b²?
1. 8
2. 16
3. 24
Look at the triangle on the right. What is the value of a² + b²?
1. 15
2. 17
3. 25
Look at the triangle on the right. The Pythagorean Theorem states that if the value of a² + b² is 25, then the value of c² must be _____.
1. 25
2. unknown
Which of the following is the square root of 25 and the length of the hypotenuse in the triangle on the right?
1. 5
2. 10
3. 12.5
Use the Pythagorean Theorem [ a² + b² = c²] to find the missing value in the triangle on the right.
1. 10
2. Study Exponents
Use the Pythagorean Theorem [ a² + b² = c²] to find the missing value in the triangle on the right.
1. 5
2. Study Exponents
Use the Pythagorean Theorem [ a² + b² = c²] to find the missing value in the triangle on the right.
1. 7
2. Study Exponents