find the missing side round to the nearest tenth worksheet


questioned by administrator @ in Mathematics viewed by 122 People


Find the missing side or angle.

Round to the nearest tenth.
A=78°
b=2
C=4
a=[ ? )

Answered by administrator @



Answer:

a=4.1

Step-by-step explanation:

The Law of Cosines is given as:

a^2=c^2+b^2-2cb\cos A.

Plugging in given values, we get:

a^2=4^2+2^2-2\cdot 4 \cdot 2\cos 78^{\circ},\\a^2=16+4-16\cos 78^{\circ},\\a^2\approx \sqrt{16.673},\\a\approx \fbox{$4.1$}.


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