In ΔGHI, h = 10 cm, ∠G=152° and ∠H=7°. Find the area of ΔGHI, to the nearest square centimeter.
1 answer:
Answer:
Step-by-step explanation:
I = 180-152-7 = 21°
Law of Sines:
g = h·sinG/sinH ≅ 38.5 cm
i = h·sinI/sinH = 29.4 cm
Use Heron's Formula to calculate the area from the lengths of the sides.
semi-perimeter s = (g+h+i)/2 ≅ 39.0 cm
area =
≅ 69 cm²
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