Answer:
[tex]x = 12[/tex]
Step-by-step explanation:
the base length is 32
But we need the base angle for the x triangle so we say
[tex] \frac{32}{2} = 16[/tex]
[tex]20 = hypothenus \\ 16 = adjacent \\ [/tex]
[tex]opposite \: =[/tex]
[tex] {opp}^{2} + {adj}^{2} = {hyp}^{2} [/tex]
[tex] {opp}^{2} + {16}^{2} = {20}^{2} [/tex]
[tex] {opp}^{2} = {20}^{2} - {16}^{2} \\ {opp}^{2} = 400 - 256 \\ {opp}^{2} = 144 \\ opp = \sqrt{144} \\ opp = 12 \\ x = 12[/tex]
