In triangle ABC, it is known that AC = 5√6 cm, angle A = 45 degrees, angle B = 30 degrees.
| June 20, 2021 | education
In triangle ABC, it is known that AC = 5√6 cm, angle A = 45 degrees, angle B = 30 degrees. Find the length of the BC side.
In Figure 1, in the triangle ABC, by the theorem of sines, we define the length of the side BC.
AC / SinABC = BC / SinBAC.
5 * √6 / (1/2) = BC / (√2 / 2).
10 * √6 = 2 * BC / √2.
BC = 5 * √6 * √2 = 5 * √12 = 10 * √3 cm.
Answer: The length of the BC side is 10 * √3 cm.
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