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MatroZZZ [7]
1 year ago
10

In △ABC, we are told that c=11, ∡C=75∘, and ∡B=29∘. Solve for a and b.

Mathematics
1 answer:
mote1985 [20]1 year ago
8 0

The value of a and b are 5.5 and 11.0.

<h3>How to find side of a triangle?</h3>

The sides a and b of the triangle can be found as follows:

∠B = 29°

c = 11

∠C = 75°

∠A = 180 - 75 - 29 = 76°

Using sine ratio,

b / sin 29° = 11 / sin 75

b sin 75 = 11 sin 29

b =  11 sin 29 / sin 75

b = 5.33290582271 / 0.96592582628

b = 5.51816958277

b = 5.5

Let's find a,

a / sin 76 = 11 / sin 75

a sin 75 = 11 sin 76

a = 11 sin 76 / sin 75

a = 10.673252989 / 0.96592582628

a = 11.0466922042

a = 11.0

learn more on triangle here: brainly.com/question/3649623

#SPJ1

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