# Hotmath

Solve the triangle:

*
B
*
= 75
,
*
C
*
= 59
,
*
a
*
= 5

(Here,
*
a
*
represents the length of the side opposite
*
A
*
,
*
b
*
represents the length of the side opposite
*
B
*
, etc.)

Solve Δ
*
ABC
*
for
*
B
*
= 45
,
*
a
*
= 15,
*
b
*
= 31.

(Here,
*
a
*
represents the length of the side opposite
*
A
*
,
*
b
*
represents the length of the side opposite
*
B
*
, etc.)

Solve the triangle:

*
C
*
= 4
*
π
*
/5,
*
b
*
= 57,
*
c
*
= 21

(Here,
*
a
*
represents the length of the side opposite
*
A
*
,
*
b
*
represents the length of the side opposite
*
B
*
, etc.)

Find the solution for the triangles with the given values. Determine two solutions If possible. Give the lengths to three significant digits and the angle measures to the nearest tenth of a degree.

*
a
*
= 19,
*
B
*
= 30
*
C
*
= 70

*
a
*
represents the length of the side opposite
*
A
*
,
*
b
*
represents the length of the side opposite
*
B
*
, etc.)

Find if the given triangle can be solved by law of sines and law of cosines. If it can be solved then find the other unknown values of the triangle.

*
a
*
= 15.2
,
*
A
*
= 32
^{
}
,
*
B
*
= 81
.

*
a
*
represents the length of the side opposite
*
A
*
,
*
b
*
represents the length of the side opposite
*
B
*
, etc.)

Find the solution for the triangles with the given values. Determine two solutions If possible. Give the angle measures to the nearest tenth of a degree.

*
a
*
= 31,
*
b
*
= 27,
*
A
*
= 150

*
a
*
represents the length of the side opposite
*
A
*
,
*
b
*
represents the length of the side opposite
*
B
*
, etc.)

Find if the given triangle can be solved by law of sines and law of cosines. If it can be solved then find the other unknown values of the triangle.

Find if the given triangle can be solved by law of sines and law of cosines. If it can be solved then find the other unknown values of the triangle.