Find, correct to the nearest degree, the three angles of the triangle with the given...
Find, correct to the nearest degree, the three angles of the triangle with the given vertices.
A(1, 0, -1), B(3, -2, 0), C(1, 3, 3)
Answer & Explanation
Skilled2021-05-27Added 108 answers
A(1,0,-1), B(3,-2,0), C(1,3,3) Find vectors to represent the sides. Find the magnitudes of the vectors. Use the dot product to find the angle Because of the direction is pointing relative to this is the angle outside the triangle, and we should find the supplementary angle. If we used in the formula (just negative the numerator) we would have gotten the correct angle on the first try. The 3rd angle should be what's left over after subtracting from You can confirm using the formula again: We'll round everything to I decimal place so they add up to 180. Result: Angle at vertex
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