Applying the law of cosine, the largest angle in the given triangle, to the nearest whole degree, is: 99°.
What is the Law of Cosine?
Law of cosine is, c² = a² + b² - 2ab(cosC)
Let,
- a = 15
- b = 19
- c = 26
- Largest angle = C
Plug in the values into the formula for the law of cosine:
26² = 15² + 19² - 2(15)(19)(cosC)
676 = 586 - 570(cosC)
676 - 586 = -570(cosC)
90 = -570(cosC)
90/-570 = cos C
-0.1579 = cos C
C = cos^(-1)(-0.1579)
C = 99°
The largest angle = 99°
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