Calculate the area of a triangle if given its side and the angles adjacent to it a = 15.6, b = 48 °, y = 70 °
| February 25, 2021 | education
Determine the value of the angle BAC.
The sum of the inner angles of the triangle is 180, then the angle BAC = (180 – 48 – 70) = 62.
By the sine theorem: ВС / SinBAC = AC / SinABС.
AC = BC * Sin48 / Sin62.
Let’s define the area of the triangle ABC.
Savs = BC * AC * SinACB / 2 = BC * BC * Sin48 * Sin70 / 2 * Sin62 = 15.6 * 15.6 * 0.74 * 0.94 / 2 * 0.88 = 96.2 cm2.
Answer: The area of the triangle is 96.2 cm2.
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