Question

find the area of each triangle. Round to the nearest tenth.please I need help I need to submit this at 11pm

Answer 1

step 1

Find the measure of the third angle

REmember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

In this problem

x+65+55=180

solve for x

x+120=180

x=60 degrees

step 2

Find the area of triangle

Applying the law of sines

`A=(1)/(2)\cdot a\cdot b\cdot\sin (x)`

we have

a=120 m

b=132.8 m

X=60 degrees

substitute

`\begin{gathered} A=(1)/(2)\cdot120\cdot132.8\cdot\sin (60^o) \\ A=6,900.5\text{ m\textasciicircum{}2} \end{gathered}`

area is 6,900.5 square meters