WORKSHEET SPECIAL THEOREM
(PYTHAGORAS THEOREM)
1. Find the value of the unknown in each of the following figures!
c
B
a.
b.
c.
600
𝑥
9 cm
6 cm
0
12 cm
d
30
10√3
𝑦
G  BIG = … 0
 BGI = …0
m
d.
h
g
450
e.
I
450
11 cm
n
8√2
2. A triangle ∆ PQR with a right angle at P, the angle  PQR = 300, and the side
R
PQ = 12√3 cm is given. Find:
a. The length of PR
b. The length of QR
300
P
Q
3. A triangle ∆ KLM with a right angle at L, the angle  MKL = 600, and the side
LM = 15 cm is given. Find the length of: M
a. KL
b. KM
0
K 60
L
4. A rhombus PQRS with the angle  TPS = 300 and the side PT = 24 cm is given. Find:
S
a. Its perimeter, and
b. Its area!
P
R
T
Q
5. A rectangle PQRS with the diagonal PR = 20 cm and the angle  RPQ = 300 is given.
Find:
a. Its perimeter, and
b. Its area!
6. If a = 16 cm, then x = … cm
a
x
600
7. A flag pole is 8 m in height. The angle made by the sunray passing through the upper
end of the flag pole with the horizontal has a measure of 600. Find:
a. The distance the edge of the pole’s shadow makes with the lower end of the flag
pole!
b. The length of the shadowof the flag pole!
8m
600
8. The front section of a tent is shaped from two right triangles each of which has equal
legs. If the width of the tent is 4 m, find the perimeter of that section!
4m