Find the missing side round to the nearest tenth worksheet

Asked by admin @ 22/11/2021 in Mathematics viewed by 361 People

Find the missing side or angle.

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

Answered by admin @ 22/11/2021

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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