Math 1330 Popper 18
1. Triangles: ABC and DEC are right triangles with right angles B and E, respectively. If  DE = 6,  EC = 18,  and BE = 12,
find the area of triangle ABC. (Note that the triangle may not be drawn to scale.)
A. 300
B. 150
C. 120
D. 60
2. Find the area of an equilateral triangle with side length 6 feet.
A. 9√3
B. 3√3
C. 12√3
D. 6
3. In triangle ABC, the measure of angle A is 2x, the length of AB is 5, and the length of AC is
what is the area of th81e triangle?
Hint: You will need to use the double angle formula for sine
A. 5
B. 24
C.
D.
√
√
.
If
sin(x)=
,
Math 1330 Popper 18
4. Given isosceles triangle ABC with base BC. If each base angle measures 75° and
each leg is 18 inches long, find the area of this triangle.
A. 162
B. 81
C. 81√2
D.
5. Given triangle ABC, the measure of angle A is 30°, the length of BC is 3, and the length of
AC is 5. How many solutions are there for the measure of angle B?
A. 3
B. Can not be determined
C. 0
D. 1
E. 2
6. ABC is a triangle with AB = 8, BC = 4, and AC = 6. Find cos(A).
Note: You are being asked to find the cosine of A, not the measure of angle A.
Do not use a calculator
A.
B.
C.
D.
Math 1330 Popper 18
7. Determine the angle x in the triangle given below with AB = 8 and BC = 10.
Hint: Use the Law of Sines along with a double-angle formula.
A.
B.
C.
8. In triangle ABC, ∠A measures 33°. If ∠C measures 38° and BC has length 12,
find AB.
A.
°
°
B.
°
°
C. 6
D. sin
°
°