Special
R atio
R ight
T riangles
Right
t riangles
w ith
a
c ertain
r atio
b etween
t heir
s ides
30-‐60-‐90
R ight
T riangle
( Scalene)
45-‐45-‐90
R ight
T riangle
( Isosceles)
6 0°
°
2x
4 5
x√2
x
x
30°
°
4 5
x
x√3
Pythagorean
T riples
These
a re
r ight
t riangles
w ith
w hole
n umbers
f or
s ides
3
12
4
13
5
5
SOH/CAH/TOA
!""!#$%&
!"#!$%&'
!""!#$%&
(sine
=
;
c osine
=
;
t angent
=
)
!!"#$%&'(%
!!"#$%&'(%
!"#!$%&'
!
3
tangent
6 5
=
!
sine
4 7
=
k
!
!
4
t angent
6 5
=
x
x
=
8 .58
x
s ine
4 7
=
3
47°
x
!
x
=
=
4 .1
65°
!"#$ !"
4
!
cosine
3 1
=
!
7
c osine
3 1
=
x
7
x
=
6
x
31°
x