Respuesta :

Answer:

c = 20

Step-by-step explanation:

Using Pythagoras' identity on the right triangle

c² = 12² + 16² = 144 + 256 = 400

Take the square root of both sides

c = [tex]\sqrt{400}[/tex] = 20


gmany

Answer:

c = 20

Step-by-step explanation:

Use the Pythagorean theeorem:

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

a,b - leg lengths

c - hypotenuse length

We have a = 12 and b = 16. Substitute:

[tex]c^2=12^2+16^2\\\\c^2=144+256\\\\c^2=400\to c=\sqrt{400}\\\\\boced{c=20}[/tex]

[tex]\sqrt{400}=20\ because\ 20^2=400[/tex]

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