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Hunter-Best [27]
3 years ago
6

Please please help

Mathematics
1 answer:
elena-s [515]3 years ago
6 0

Answer: -12

Step-by-step explanation:

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alexira [117]

Answer:

find b: since the triangle is right angle triangle apply the Pythagorean theorem

c²+b²=d²

b²=d²-c²

b²=16²-12²

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b²=112

<h2>b=√112 = 4√7</h2>

the sum of the angle of the triangle=180

( in top Δ abd ) sin Ф=opp/hyp

sinФ=b/d=4√7/16= √7/4  radian

convert to degrees : √7/4 *180/π= 37.91 almost 38 degrees

<h2>which makes A= 38 degrees ( adjacent angles are equal when they have common side and do not overlap)</h2>

find a=?? apply law of cosine

a²= d^2 + c^2 − 2dc cosA

a²=16² + 12²-2(16)(12)cos38

a =√(16² + 12²-2(16)(12)cos38)

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(i hope it is right )

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