Piece of a wire

A piece of wire is bent into the shape of a triangle. Two sides have lengths of 24 inches and 21 inches.
The angle between these two sides is 55°. What is the length of the third side to the nearest hundredth of an inch?

A: The length of the third side is approximately ____ inches.

Correct answer:

c =  20.9484 in

Step-by-step explanation:

a=24 in b=21 in γ=55   c2 = a2+b22ab cos γ  c=a2+b22 a b cosγ=a2+b22 a b cos55° =242+2122 24 21 cos55° =242+2122 24 21 0.573576=20.948=20.9484 in

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See also our trigonometric triangle calculator.
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