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If a triangle has three sides with the lengths 20, 16, and 12, what are the angles?

If a triangle has three sides with the lengths 20, 16, and 12, what are the angles-example-1

1 Answer

4 votes

Answer:

angle a = 53.13°

angle b = 36.87°

angle c = 90°

Explanation:

The following is one way to perform the calculation. It may not be the best way.

Calculates ∠A, ∠B, ∠C based on given a, b and c.

∠A = arccos( b2 + c2 - a2 2bc )

= 0.9273 rad = 53.13° = 53.13°

∠B = arccos(a2 + c2 - b2 2ac )

= 0.6435 rad = 36.87° = 36.87°

∠C = arccos(a2 + b2 - c2 2ab )

= 1.5708 rad = π/2 = 90°

User Milan M
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