Answer:
45 (in centimeters)
Step-by-step explanation:
In ΔVWX we have to find the length of the third side.
When the length of two sides of a triangle and the included angle is given
we can find the length of third side by applying cosine law.
According to cosine law, in a ΔVWX
[tex]x^{2} =v^{2}+w^{2} -2vwcosX[/tex]
[tex]=21^{2}+64^{2}-(2\times21\times64\times cos23)[/tex]
=2062.683 [tex](cm)^{2}[/tex]
[tex]x=45[/tex]cm (approximating it to nearest integer)