Respuesta :

Luzamandaarteaga

Answer: a=5

Step-by-step explanation: Use the pythagorean theorem and get

(a)^2+(12)^2=(13)^2

This would then be (a)^2+144=169

subtract 144 from both sides and get

(a)^2=25

Take the square root of both sides and you get a=5

Answer:

a=5

Step-by-step explanation:

Pythagorean theorem

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

substitute your values

[tex]a^{2}[/tex] + [tex]12^{2}[/tex] = [tex]13^{2}[/tex]

    - 12    - 12

[tex]a^{2}[/tex] = [tex]13^{2}[/tex] - [tex]12^{2}[/tex]

a = 169-144

a= 25

now find the square root of 25, which is 5

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