Respuesta :

So we can solve this using the Pythagorean theorem. The basic equation is as follows:


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


where a and b are the values of the two legs of a right triangle, and c is the value of the hypotenuse.


So let's plug in the values given via the picture:


[tex] 14^{2}+ x^{2}= 17^{2} [/tex]


And then we solve for x:


[tex] 196+x^{2} =289 [/tex]


[tex] x^{2} =93 [/tex]


[tex] x=\sqrt{93} [/tex]


So now we know the value of x is the squareroot of 93.