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Hatshy [7]
3 years ago
14

What is the length of the missing side AB?

Mathematics
2 answers:
Marina CMI [18]3 years ago
7 0

Answer: 72.6 cm

Step-by-step explanation:

Since we know the two sides and one angle, we would apply the law of Cosines which is expressed as

a² = b² + c² - 2abCosA

Where a,b and c are the length of each side of the triangle and C is the angle corresponding to AB.

AB² = 38² + 83² - 2(38 × 83)Cos61

AB² = 1444 + 6889 - 2(3154)0.4848

AB² = 8333 - 3058.1184

AB² = 5274.8816

Taking square root of both sides, it becomes

AB = √5274.8816

AB = 72.6 rounded up to the nearest tenth

sladkih [1.3K]3 years ago
5 0

Answer: 72.6

Step-by-step explanation: c = √b2 + a2 - 2ba·cos(C) = 72.6

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