Question

Determine the area of Triangle ABC if a = 9, c = 6, and B = 50°. Round your answer to the nearest tenth.

Answer 1

20.7

Step-by-step explanation:

If we have a triangle of the form

then the area is given by

`A=(ab\sin \theta)/(2)`

Now in our case we have

a = 6

b = 9

Θ = 50

therefore,

`A=6\cdot(9)/(2)\sin 50`

which simplifies to give

`A=27\sin 50`

since

sin 50 = 0.77

the above simplifies to give

`A=27\cdot0.77`
`A=20.7`

which is our answer!