Let us take a random triangle we call 
for a better understanding of the solution provided here.
A diagram of the is attached here.
The rule to be applied here is the relationship between the side lengths of a triangle and the angles opposite those sides. This relationship states that:
In a triangle, the shortest side is always opposite the smallest interior angle
and the longest side is always opposite the largest interior angle.
Let us verify this using the diagram attached.
As per the diagram, the smallest interior angle is 
and the side opposite to it, 
has the smallest side just as the relationship had suggested.
Likewise, the largest interior angle is 
and the side opposite to it, LM=45.7 is the longest side just as the relationship had suggested.
This rule/relationship can be applied to any triangle in question.
Answer:
Step-by-step explanation:
Let
V
be the number of vertices of a polyhedron,
F
the number of faces of that polyhedron, and
E
be the number of edges. The quantity
χ
=
V
−
E
+
F
is called the Euler characteristic (of a polyhedron). In the case of convex polyhedra,
χ
=
2
.
Consider, for example, a tetrahedron (which is the simplest solid). It has 4 faces,
1
2
(
4
)
(
3
)
=
6
edges, and
1
3
(
4
)
(
3
)
=
4
vertices. Thus we have
V
−
E
+
F
=
4
−
6
+
4
=
2
.
Euler's formula holds for all Platonic solids (tetrahedron, cube, octahedron, dodecahedron, and icosahedron). Since a cube and an octahedron are dual polyhedra (each is formed by connecting the centers of the faces of the other), their
V
and
F
values are equal to the
F
an
V
values of the other. (The same is true for the dodecahedron and icosahedron).
im not 100% sure if my answers are right but heres what i got:
b. 3 and 1/2
d. 2 and 1/3 (or 2 3/9)
Step-by-step explanation: 6hours= 60*6=360
360:30
12:1
