If the hypotenuse of a right triangle is 2 [tex]\sqrt{3}[/tex] units long and one of the legs is [tex]\sqrt{3}[/tex] units long, then how long is the other leg?


[tex]\sqrt{3}[/tex]

2[tex]\sqrt{3}[/tex]

3

Respuesta :

Answer:

3

Step-by-step explanation:

a = the other leg:

[tex]a^{2} =(2\sqrt{3} )^{2} -(\sqrt{3}) ^{2} =(4)(3)-3=12-3[/tex]

[tex]a^{2} =9[/tex]

[tex]a=\sqrt{9}[/tex]

[tex]a=3[/tex]

Hope this helps

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