In Triangle ABC, side AB = 8cm, angle C = 60 degrees, angle B = 45 degrees. Find the AC side.
| August 2, 2021 | education
Let’s build the height AH.
Triangle ABH is rectangular and isosceles.
AH = AH = AB * Sin45 = 8 * √2 / 2 = 4 * √2cm.
The CBH triangle is rectangular.
Sinvsn = BH / AC.
AC = BH / Sin60 = 4 * √2 / (√3 / 2) = 8 * √2 / √3 cm.
Answer: The length of the speaker side is 8 * √2 / √3 cm.
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