1. If a2 + b2 = c2, then the triangle is a RIGHT TRIANGLE.
Pythagorean Theorem
If a triangle is a
RIGHT TRIANGLE,
then a2 + b2 = c2 .
Proof that the
formula works!
Find the length 2. In the right triangle, what
of the missing leg. is the length of AB?
9ft 15ft x
CONVERSE of the Pythagorean Theorem
If a2 + b2 = c2, then the triangle
is a RIGHT TRIANGLE.
3. Which of these sets of 3 numbers could
represent the sides of a right triangle?
I. 5, 7, 9
II. 5, 12, 13
A Neither I nor II
B I only
C II only
D Both I and II
FAMOUS PYTHAGOREAN TRIPLES:

2. 4. If a rectangle measures 54 meters by 72 meters, what is the length, in meters, of the diagonal of the rectangle?
A. 48
B. 63
C. 90
D. 126
252
5. The triangle shown below is a right triangle. Which equation could be used to determine the value of x? A. B. C. D.
6. The triangle shown is a right triangle.
Find the length of the missing side.
7. A plane traveled 15 miles west then 20 miles due north. It then flies on a diagonal path directly back to its starting point.
Draw and label a diagram of the plane’s route. Determine the distance of the diagonal path the plane traveled. Show your work.
8. A ladder is 10 feet long and reaches 8 feet up a wall, as shown below. How many feet is the bottom of the ladder from the base of the wall?