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3 years ago

A = 16

Mathematics

1 answer:

labwork [276]3 years ago

6 0

Answer:

c² = a² + b² - 2ab×cos(C)

c = 7.7

Step-by-step explanation:

we use the enhanced Pythagoras for general triangles :

c² = a² + b² - 2ab×cos(C)

c² = 16² + 10² - 2×16×10×cos(22) = 256 + 100 - 320×cos(22) =

= 356 - 320×0.92718... = 356 - 296.698... ≈ 59.3

c ≈ 7.7

as you can see, the "regular" formula of Pythagoras

c² = a² + b²

is derived from the fact that cos(90)=0.

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