Respuesta :

DeanR

The Pythagorean Theorem says for a right triangle with legs a,b and hypotenuse c,

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

Solving for each in turn,

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

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

[tex]a = \sqrt{c^2-b^2}[/tex]

[tex]b = \sqrt{c^2-a^2}[/tex]

Looking at our choices, we select the third and fourth.

The pythagorean theorem states that, in every right triangle, the following formula holds:

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

where a and b are the legs, and c is the hypotenuse.

We can deduce the following expressions for a,b and c:

[tex]a = \sqrt{c^2-b^2},\quad b=\sqrt{c^2-a^2},\quad c=\sqrt{a^2+b^2}[/tex]

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