erossss erossss
  • 17-06-2021
  • Mathematics
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Given the triangle below, what is m
A. 46.2
B. 41.40
C. 48.4
D. 38.6°

Given the triangle below what is m A 462 B 4140 C 484 D 386 class=

Respuesta :

reinhard10158
reinhard10158 reinhard10158
  • 17-06-2021

Answer:

B 41.4

Step-by-step explanation:

complete Pythagoras for general triangles :

c² = a² + b² - 2ab×cos(C)

with "c" being the side opposite of the angle C.

=>

8² = 10² + 12² - 2×10×12×cos(C)

64 = 244 - 240×cos(C)

240×cos(C) = 244 - 64 = 180

cos(C) = 180/240 = 18/24 = 3/4 = 0.75

C = 41.40962211... ≈ 41.4

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