In ΔGHI, h = 10 cm, ∠G=152° and ∠H=7°. Find the area of ΔGHI, to the nearest square centimeter.

Question

In ΔGHI, h = 10 cm, ∠G=152° and ∠H=7°. Find the area of ΔGHI, to the nearest square centimeter.

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Thiên Ân 2 months 2021-07-23T09:01:11+00:00 1 Answers 2 views 0

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    2021-07-23T09:02:54+00:00

    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 = \sqrt{s(s-g)(s-h)(s-i)}≅ 69 cm²

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