Download SSS SAA ASA SAS SSA

Solving
Oblique Triangles
1.Use Law of
Sines to find
the missing side
opposite the
know angle.
2. Find the
missing angle
using the fact
that the sum of
the angles of a
triangle = 180°.
1. Find the largest
angle using the
Law of Cosines.
What type
Of triangle
Is it?
SAA
SSS
SSA
3. Find the final
remaining side
using the Law
of Sines.
ASA
1. Find the missing
angle using the fact
that the sum of the
angles of a triangle
=180°.
2. Find both
remaining sides
using the Law of
Sines.
Let a and b and
angle A be given in
triangle ABC. The
Law of Sines can
be used to find
sin B.
1. If sin B > 1 no
triangle satisfies
the given
conditions.
2. If sin B = 1 then
B=90°.
3. If 0<sin B<1 you
may have 1 or 2
triangles.
a. if sin B= k the
−1
let sin k = B1
in the first triangle
b. Let B 2=180o −B1
o
if AB2 180
then a second
triangle exists.
SAS
1. Use the Law
of Cosines to find
the side opposite
the know angle.
2. Find the smaller
of the remaining
angles using the
Law of Sines.
3. Find the
missing angle using
the fact that the
sum of the angles
of a triangle = 180°.
2. Find either
remaining sides
using the Law of
Sines.
3. Find the
remaining side
using the fact that
the sum of the
angles of a triangle
= 180°.