# Trigonometry

posted by .

Given triangle ABC with a = 16, b = 14, and Beta = 54°, find the value of c.
A. 3.1 and 20
B. 4.1 and 15
C. 15
D. 3.1

• Trigonometry -

Use Law of Cosines:

cosB = (a^2+c^2-b^2)/2ac.
0.58779 = (256+c^2-196)/32c
0.58779 = (c^2+60)/32c
Cross multiply:
18.81c = c^2+60
c^2-18.81c+60 = 0.
c = 4.1,and 14.7. Use Quadratic Formula.

## Similar Questions

given that a(-1,8) ,b(2,4) and if the line y=4 is the axis of symmetry of triangle abc find c.show that triangle abc is an isosceles triangle,calculate the area of triangle abc,calculate the perpendicular distance from a to bc
2. ### geometry

1. The radius of the circumscribed circle of the triangle ABC is 15 cm. Given that B is a 49-degree angle, find the length of side AC. continuation - The radius of the circumscribed circle of the triangle ABC is r cm. Given that B …
3. ### Trigonometry

Given triangle ABC with a = 16, b = 14, and Angle is = 54°, find the value of c. A. 3.1 and 20 B. 4.1 and 15 C. 15 D. 3.1
4. ### Trigonometry

Given triangle ABC with gamma = 61.0°, Beta = 29.0°, and b = 20.5, find the value of a. A. 9.94 B. 11.4 C. 42.3 D. 37.0
5. ### Trigonometry

Find the exact value of tan2(Beta) if sin(Beta) = 5/13 (Beta in Quadrant II)
6. ### Trigonometry

Find the exact value of tan2(Beta) if sin(Beta) = 5/13 (Beta in Quadrant II)
7. ### Math

1. What is the area of triangle ABC if a = 47.0°, β = 57.8°, and a = 10.2 cm?
8. ### trigonometry

1. What is the area of triangle ABC if a = 47.0°, β = 57.8°, and a = 10.2 cm?
9. ### Trigonometry

1. What is the area of triangle ABC if a = 47.0°, β = 57.8°, and a = 10.2 cm?
10. ### Trigonometry

1. What is the area of triangle ABC if a = 47.0°, β = 57.8°, and a = 10.2 cm?

More Similar Questions