Applying trigonometric ratios along with other mathematical concepts

Find the area to the nearest tenth.

• A
• B
• C
• D

Find the area:

• 104.5 units²

• 120 units²

• 80.5 units²

• 2400 units²

Determine which method could be used with the given information to find the area of this triangle

• Heron's Triangle Area Formula
• SAS Triangle Area Formula
• Equilateral Triangle Area Formula
• none of these

in triangle ABC, the measure of angle c = 30 and a = 8.  If the area of the triangle is 12, what is the length of side b?

• 6
• 8
• 3
• 4

Given the triangle, find the area using the sine formula. Calculate to the nearest thousandth.

Find the area of the triangle.

​(Round to the nearest tenth if​ needed.)

• 140 km²

• 139.3 km²

• 140.4 km²

• 139.4 km²

Find the area of  $\Delta$ ABC, if B = 39°, a = 8 cm, c = 5 cm.  Round to the nearest tenth. 

• Area = 15.5 $cm^2$  

• Area = 12.6 $cm^2$  

• Area = 25.2 $cm^2$  

• Area = 18.9 $cm^2$  

Find the area of $\Delta PQR,$  given  $m\angle P\ =\ 74\degree,\ r=19$  cm, and $q=18$  cm  using the sine formula. Calculate to the nearest thousandth.

Find the area of triangle ABC using the SAS formula
A =  $67\degree$  , b = 11yd, c = 24 yd

• 209.1 $yd^2$  

• 58.2 $yd^2$  

• 112.8 $yd^2$  

• 121.5 $yd^2$