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4 years ago

Solve the triangle.

Mathematics

1 answer:

Brrunno [24]4 years ago

5 0

Answer:

a ≈ 11.3, C ≈ 24.2, B ≈ 103.8

Step-by-step explanation:

The information A = 52°, b = 14, c = 6 lends itself to solution using the Law of Cosines: a^2 = b^2 + c^2 - 2bc cos A.

Here, a^2 = 14^2 + 6^2 - 2(14)(6) cos 52 degrees, or

= 196 + 36 - 168 (0.616)

= 120.57

Taking the positive square root of this results in a = 11.3.

This corresponds to the second answer choice: a ≈ 11.3, C ≈ 24.2, B ≈ 103.8

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4 years ago

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Aleks [24]

$3 \sqrt{7} \times 17 \sqrt{14}$

This is the problem that we need to solve. The best way to get about it is to first:

Multiply the constant numbers (3 and 17). 3×17 is 51.
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The skills needed are multiplication, mulitplication of radicals, and simplifying radicals, so if you want to review anything use these as reference.

Hope you understood and have a nice day!!

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