skylar1319
skylar1319 skylar1319
  • 07-01-2021
  • Mathematics
contestada

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 class=

Respuesta :

mahahoor29427
mahahoor29427 mahahoor29427
  • 07-01-2021

Answer:

angle a = 53.13°

angle b = 36.87°

angle c = 90°

Step-by-step 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°

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