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Calculate the side lengths a and b to two decimal places.

A. a = 11.40 and b = 13.38

B. a = 11.71 and b = 15.56

C. a = 4.18 and b = 3.15

D. a = 10 and b = 14

Please Help Calculate the side lengths a and b to two decimal places A a 1140 and b 1338 B a 1171 and b 1556 C a 418 and b 315 D a 10 and b 14 class=

Respuesta :

2025michaelmoore

Answer:

The answer is a.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

ITS FOR MY A P E X PEOPLE

ALSO STEPS BELOW

* In ΔABC

∵ m∠A = 45°

∵ m∠B = 110°

∴ m∠C = 180 - 45 - 110 = 25°

By using the sin Rule

∵ a/sin(A) = b/sin(B) = c/sin(C)

∵ c = 7

∴ a/sin(45) = b/sin(110) = 7/sin(25)

∴ a = (7 × sin(45)) ÷ sin(25) = 11.71

∴ b = (7 × sin(110)) ÷ sin(25) = 15.56

∴ The answer is (D)