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What is the length of AB? Enter your answer In the box, round only your final answer to the nearest tenth.

What is the length of AB? Enter your answer In the box, round only your final answer-example-1
User Meroz
by
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1 Answer

6 votes
Side c = 18
Angle B = 79°
Side a = 12
AB = side b
Use the Law of Cosines to find the length of side b.
b^2 =
a^2 + c^2 − 2ac cos(B)

b^2 =
(122 + 182) − ( 2 x 12 x 18) cos(79°)

b^2 = (144 + 324) − 432 x 0.191

b^2 =
468 - 432 x 0.191

b^2 =
468 - 82.429

b^2 =
385.571

b = √385.571

b = 19.636

Rounded to the nearest tenth is 19.6 cm.

Hope this helps!

User Fnky
by
7.6k points