1. the triangle is a RIGHT TRIANGLE.
Pythagorean Theorem
If a triangle is a
RIGHT TRIANGLE,
then a2 + b2 = c2 .
Proof that the
formula works!
1. Find the length of the missing leg.
9ft 15ft x
CONVERSE of the Pythagorean Theorem
If a2 + b2 = c2, then
the triangle is a RIGHT TRIANGLE.
2. 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. (You may use a calculator on this one.) A. 48 B. 63 C. 90 D. 126
NAEP Question, Pre-Algebra
3. In the right triangle,
what is the length of AB? A
B. 12
C. 13
D. 17
E. 30
ACT Question, Pre-Algebra
4. If a rectangle measures 54 meters by 72 meters, what is the length, in meters, of the diagonal of the rectangle?
(You may use a calculator on this one.)
A. 48
B. 63
C. 90
D. 126
E. 252
CCSD Pre-Algebra Exam Released Question
5. 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.
ACT Question, Pre-Algebra
6. 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?