Respuesta :

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)