Transcript Slide 1

Pythagorean Theorem
CONVERSE of the Pythagorean Theorem
If a triangle is a
RIGHT TRIANGLE,
then a2 + b2 = c2 .
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
Proof that the
formula works!
A.
B.
C.
D.
1. Find the length
of the missing leg.
9ft
15ft
x
2. In the right triangle, what
is the length of AB?
Neither I nor II
I only
II only
Both I and II
FAMOUS PYTHAGOREAN TRIPLES:
4. If a rectangle measures 54 meters by 72 meters, what is
the length, in meters, of the diagonal of the rectangle?
A.
B.
C.
D.
E.
48
63
90
126
252
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.
5. The triangle shown below is a right triangle. Which
equation could be used to determine the value of x?
A.
B.
C.
D.
x  72  152
x  152  72
x  72 152
x  152  72
6. The triangle shown is a right triangle.
Find the length of the missing side.
A.
B.
C.
D.
5m
11 m
55 m
73 m
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?