Solve a triangle with a =5, b =6, and c = 7. Round to the nearest tenth.

<A ≈ 45 degrees

<B ≈ 57 degrees

<C ≈ 78 degrees

Step-by-step explanation:

Hi there!

1) Find <C with the law of cosines

Typically, we want to solve for the angle opposite the largest side first.

Law of cosines:

Plug in given values

Therefore, <C is approximately 78 degrees.

2) Find <B with the law of cosines

Plug in given values

Therefore, <B is approximately 57 degrees.

3) Find <A

The sum of the interior angles of a triangle is 180 degrees. To solve for <A, subtract <B and <C from 180:

180-57-78

= 45

Therefore, <A is 45 degrees.

I hope this helps!

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7

step-by-step explanation: