In a triangle ABC ∠ABC = 120 °, AB 6. The area of the triangle is 6 roots of 3. Find BC.
| September 7, 2021 | education
We can apply the formula to find the area of a triangle S = 1/2 * AB * BC * sin120. From here we can express BC = S / (1/2 * AB * sin120).
sin120 = √3 / 2.
Substitute the values: BC = 6√3 / (1/2 * 6 * √3 / 2).
The root of three in the denominator and in the numerator are canceled, 1/2 * 6 = 3.
And we have BC = 4.
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