Consider a triangle like the one below. Solve the triangle. Carry your intermedi

Question

Consider a triangle like the one below. Solve the triangle. Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth.

Consider a triangle ABC like the one below. Suppose that a = 16, b = 64, and c = 49. (The figure is not drawn to scale ) Solve the triangle. Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth If there is more than one solution, use the button labeled "or" or ? solution

Explanation / Answer

We know from law of cosines

a^2=b^2 + c^2 - 2 b c Cos A

Cos A = ( b^2 +c^2 -a^2)/2bc

Given a= 16;b= 64;c = 49

Cos A = (64^2+49^2-16^2)/(2*64*49)

A = 5.7 degrees

Cos B = (64^2+16^2-49^2)/(2*64*16)

B= 17.7 degrees

C = 180-5.7-17.7 ( sum of angles in traingle = 180 degrees)

C= 156.6

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