Question

b. The triangular surface needs to be painted red. Find the area of the triangle. Explain or showyour work.

Answer 1

Answer:

The area is 89.34 sq. ft

Step-by-step explanation:

The area of a triangle is given as:

`A=(1)/(2)bh`

Where b is the breadth and h the height.

See sketch below. The third side of the triangle is obtained using the statement "The sum of angles in a triangle is 180 degrees".

Using sine rule to find the height of the triangle, we have:

`\begin{gathered} (17)/(\sin108)=(AB)/(\sin36) \\ \\ AB=(17\sin36)/(\sin108)=10.51 \\ \end{gathered}`

Finally, we can find the area as:

`A=(1)/(2)*17*10.51=89.34ft^2`