You are given two sides of a triangle, a = 3.5 and b = 5.2. the angle between them is 37 degrees. write a script to find the length of the third side and the area of the triangle.

Question

Mathematics

Santos Cole

27 January, 18:59

You are given two sides of a triangle, a = 3.5 and b = 5.2. the angle between them is 37 degrees. write a script to find the length of the third side and the area of the triangle.

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Answers (1)

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Harris · Answer 1

Use the law of cosines

side c² = a² + b² - 2ab • cos (C)

side c² = 3.5^2 + 5.2^2 - 2*3.5*5.2 * cos (37)

side c² = 12.25 + 27.04 - (36.4 *.79864)

side c² = 39.29 - 29.070496

side c² = 10.22

c = 3.197

Side Angle Side formula

Area = ½ • side 1 • sine (A) • side 2

Area =.5 * 3.5 * 0.60182 * 5.2

Area = 5.476562