Question

Can help me to solve this problem with diagram? Topic application of trigonometry

Answer 1

Given the image in the question, the following are the solution steps to get the area of the triangule

Step 1: Draw the triangle

Step 2: State formula for finding the area of the triangle

Since the triangle in step 1 has three sides, we use the Heron's formula below to get the area of the triangle

`\begin{gathered} \text{Area}=√(s(s-a)(s-b)(s-c)) \\ \text{where s}=\frac{a+b+c_{}}{2} \end{gathered}`

Step 3: Write the given sides and substitute to get the value of s

`\begin{gathered} a=209.14,b=434.02,c=482.95 \\ s=(209.14+434.02+482.95)/(2)=(1126.11)/(2)=563.055 \end{gathered}`

Step 4: Calculate the area of the triangle

Hence, the area of the triangular region is approximately 45384.60km²