Question

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

Answer 1

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

Answer 2

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

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