TheLegendaryJet
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PLEASE HELP ASAP GEOMETRY 20 POINTS REAL ANSWERS ONLY!


Find the missing parts of the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.

C = 122.2°
a = 8 km
b = 10.4 km

Sagot :

cutydragy

Answer:

16.2

Step-by-step explanation:

Use the law of cos

c^2 = 8^2+10.4^2-2*8*10.4*cos(122.2 degrees)

=260.83

c = √260.83 = 16.15

varshamittal029

The missing side of the triangle is 16.2 km (round to the nearest tenth)

What is law of cosines ?

If a, b, c are sides of a triangle & C be the angle opposite to side c, then

c²=a²+b²-2ab cosC

What is the missing side ?

Here, in the given question, a = 8km & b = 10.4 km

Also the angle opposite to the third side c (say) is C = 122.2°

So, according to the law of cosines,

c²=(8)²+(10.4)²-2(8)(10.4) cos(122.2°)

⇒ c²= 64+108.16-(-88.67)

⇒ c²= 172.16+88.67

⇒ c²= 260.83

⇒ c= √(260.83)

⇒ c= 16.15 = 16.2(approx)

So, the missing side = 16.2 km

Learn more about law of cosines here :

https://brainly.com/question/8288607

#SPJ2

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