- E Label the two angles
that are “vertical” to those
markedbandc.No-
tice that the
angle marked
ais an “external”
angle. By the
External Angle theorem, a=b+c. - D Write in the missing angle measures by using
the fact that the sum of
angles in a triangle is
180 °. Then use the fact
that the biggest side of a
triangle is always across
from the biggest angle
to order the sides of each
triangle.
8. A Consider the side of length 4 to
be the base, and “attach” the side of
length 6. Notice that the triangle has
the greatest possible height when
the two sides form a right angle.
Therefore, thegreatest possible area
of such a triangle is (1/2)(4)(6) =12,
and the minimum possible area is 0. The greatest
prime number less than 12 is 11.
30 °
35 °
60 °
65 °
A B
C
D
55 °115 °6
4
370 McGRAW-HILL’S SAT
a°b°c°