Draw a triangle with lengths of two sides 4cm, 5 cm, and the angle between them 60, and draw it's circum circle?
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There are two possible triangles with angle A=60° and side a=6.4 cm and side b=7 cm. What are all the unknown sides of the two triangles?
Start with the Law of Cosines: cos 60° = ½
6.4² = c² + 7² -2 · c · 7 · ½
c² - 7c + 8.04 = 0
x ≈ 5.55; x ≈ 1.45
The two unknown sides are about 5.55 centimeters and 1.45 centimeters
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