Question

Find the area of the triangle. If necessary round the answer to decimal places x=20 degrees b=11 c=5

Answer 1

`Area = 9.405`

Explanation:

Given

`x = 20^\circ`

`b =11`

`c = 5`

See attachment for triangle

Required

Calculate the area

The area is calculated as:

`Area = (1)/(2)*ab*sinC`

In this case, it is:

`Area = (1)/(2)*bc*sinX`

So, we have:

`Area = (1)/(2)*11 * 5*sin(20^\circ)`

`Area = (1)/(2)*11 * 5*0.3420`

`Area = (1)/(2)*18.81`

`Area = 9.405`