Name_________________________________Date___________ Period________
Pythagorean Theorem Worksheet
a2 + b2 = c 2
Solve for each variable. Do not round, use exact answers. Show all work.
1.
5.
c
8 cm
x
3m
4m
6 cm
2.
6.
26 yd
a
10 mm
24 yd
3.
6 mm
x
7.
12 ft
13 cm
5cm
15 ft
x
b
4.
a
8.
3
12 in
x
6
11 in
10
9.
12. Find the length of the diagonal of a square whose
side length is 10 inches. (hint: draw a picture)
6
3
6
x
10. The length of one of the legs in a right triangle is 4
inches. If the hypotenuse is 12 inches long, what is the
length of the other leg? (hint: draw a picture)
13. The diagonal crossbar of an old wooden gate has
rusted. The gate is rectangular, 3 feet by 4 feet. How
long is the crossbar (diagonal)? (hint: draw a picture)
11. Find the length of a diagonal of a square enclosure with 14. What is the diagonal measurement of the TV
a perimeter of 16 feet. (hint: draw a picture)
screen shown in the figure below?
44 in
38 in
What is the length of the hypotenuse, c, of the following right angle triangles?
15.
a=3; b=4; c=?
18.
a = 9 ; b = 12 ; c = ?
16.
a=6; b=8; c=?
19.
a = 15 ; b = 20 ; c = ?
17.
a = 12 ; b = 5 ; c = ?
20.
a = 8 ; b = 10 ; c = ?