Question

Solve the Triangle if possible

A.) c=46°32',a=56.2 m,c=22.1 m


B.) a=200 m,A=32.76°,C=21.97°


Find the area of the triangle


C.) B=42°,a=7.2 ft,c=3.4 ft

Answer 1

Explanation:

A )

a / sinA = c / sinC

sinA = a sinC / c

= 56.2 sin 46.32 / 22.1

= 1.84

The value of sin value of an angle can not be more than 1 so the triangle is not possible .

B )

B = 180 - ( 32.76 + 21.97 )

B = 125.27

a / sin A = c / sin C

200 / sin 32.76 = c / sin21.97

c = 74.82 / .5411

= 138.27 m

b / sin B = a / sin A

b / sin 125.27 = 200 / sin 32.76

b = 163.28 / .5411

= 301.75 m

C )

Area of triangle = 1/2 ac sinB

= .5 x 7.2 x 3.4 x sin 42

= 8.19 sq ft .