Answer:
1.7 m²
Step-by-step explanation:
Given a ∆ABC with side AB = 8 ft, side AC = 8 ft, and the angle (θ) between both sides = 35°
Thus, we can find the area of ∆ABC using the formula below:
Area of ∆ABC = ½*AB*AC*sin(θ)
Length of AB = AC = 8 ft = 2.4384 m
(Note: you must convert from ft to m since we are told to find the area in m²)
Area = ½*2.4384*2.4384*sin(35)
Area = ½*5.95*0.5736
Area = ½*3.41292
Area = 3.41292/2
Area of ∆ABC = 1.7065
Area of ∆ABC ≈ 1.7 m² (to nearest tenth)
