1.
If a rhombus has a side of 10 cm and a diagonal of 12 cm, find the area of the rhombus.
Answer
2.
Find the radius of the circle that is inscribed in the equilateral triangle with the side of 6
cm.
6cm
Answer
3.
Find the exact area of the shaded region (hexagon is regular).
6 cm
Answer
4.
If the length of the apothem of a regular octagon is 6 cm and its area is 48 cm2, find the
length of each of its sides.
6cm
Answer
5.
Find the area of the triangle shown.
7
330
12
Answer
6.
Find the area of the triangle shown.
10
5
13
Answer
7. Find the side a of the triangle shown.
a
4
300
9
Answer _________________
8. An airplane is flying at the rate of 350 ft per second. If the airplane begins to descend at
an angle of 20, what is the decrease in altitude over the next 20 seconds? Given that sin
20  0.035
Answer______________________
9 Prove that sin2α + cos2 α = 1
c
b
α
a
10 Find cos Ө, tanӨ, and cscӨ in the triangle shown.
Ө
13
12
Answer______________________
11 State whether each equation is true or false. Explain your reasons.
a. sec a = 1 + tan2a
b. sin2a = 1 – cos2a
c. tan a · cot a = 1
sin a
tan a 
cos a
d.
e. cot2a = 1 + csc2a
12 Find perimeter and area of the segment
6cm