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Worksheets

Trig-Area of Triangles

Total questions: 16

Worksheet time: 1hrs 20mins

Name
Class
Date
1.

Find the area of ABC to the nearest tenth.

a)

62.3 units2

b)

124.6 units2

c)

77.0 units2

d)

100 units2

2.

Find the area of  ΔABC\Delta ABC  
if a = 9cm, b = 11cm, c = 16cm

a)

52.1 sq cm

b)

89.5 sq cm

c)

47.6 sq cm

d)

15.2 sq cm

3.

Find Area of ABC

a)

223.6 units2

b)

73.1 units2

c)

52.7 units2

d)

3.3 units2

4.

What is the area of a triangle with two sides that measure 6 m and 8 m with an included angle of 137°?

a)

17.8m²

b)

14.6m²

c)

16.4m²

d)

12.9m²

5.

What is the area of a triangle with two sides that measure 5 cm and 8 cm with an included angle of 39°?

a)

15.9cm²

b)

12.6cm²

c)

15.3cm²

d)

16.2cm²

6.
Which of the following formulas shows the Law of Cosines?
a)
c2 = a2 + b2 - 4ac + cosA
b)
c2 = a2 - b2 - 2abcosC
c)
c2 = a2 + b2 - 2abcosC
d)
(cos A)/a = (cos B)/b
7.

If the sides of a triangle are 8, 8, and 8, what is the area?

a)

8

b)

15.58

c)

27.71

d)

62.91

8.

If the sides of a triangle are 3, 4, and 5, what is the area?

a)

6

b)

6.28

c)

12

d)

3.14159

9.

Which formula would you use?

a)

Law of Sines

b)

Law of Cosines

c)

A=.5bcsinA

d)

Herons

10.

Which formula would you use?

a)

Law of Sines

b)

Law of Cosines

c)

Herons

d)

A=.5acsinB

11.
What is the area of this triangle?
a)
14.494 meters squared
b)
108.184 meters squared
c)
54.092 meters squared
d)
54.35 meters squared
12.
Find the area to the nearest tenth
a)
A
b)
B
c)
C
d)
D
13.

Find the area:

a)

104.5 units²

b)

120 units²

c)

80.5 units²

d)

2400 units²

14.

What is this Triangle's area?

a)

8.0

b)

17.9

c)

80.0

d)

8.97

15.

Which area formula works for this triangle?

a)

½(5)(7)cos(49⁰)

b)

(5)(7)sin(49⁰)

c)

½(5)(7)sin(49⁰)

d)

all of these

16.

If the sides of a triangle are 12,5, and 2. What is the area?

a)

12

b)

40.65

c)

19

d)

This triangle does not exist