Si la hipotenusa de un triángulo rectángulo mide 12cm y uno de sus lados mide 4 ¿cuanto mide el otro lado?

Respuesta : <img src="https://tex.z-dn.net/?f=%5Cmathbf%7Bb%3D8%5Csqrt%7B2%7D%7D" />Explicación paso a paso : <img src="https://tex.z-dn.net/?f=%5Ctextbf%7BSabemos%2C%20por%20el%20teorema%20de%20Pit%5C%27agoras%2Cque%20la%20suma%20de%20los%20cuadrados%7D%20%5C%5C%5Ctextbf%7Bde%20los%20catetos%20es%20igual%20al%20al%20cuadrado%20de%20la%20hipotenusa%2C%20es%20decir%7D%5C%5C%5C%5Ca%5E%7B2%7D%2Bb%5E%7B2%7D%3Dc%5E%7B2%7D%5C%5C%5Ctextbf%7Bpor%20lo%20tanto%2C%20haciendo%7D%5C%2C%5C%2C%2Ca%3D4%5C%2C%5C%2C%2Cb%3Dx%5C%2C%5C%2C%2Cc%3D12%5C%5C%5Ctextbf%7Baplicando%20dicho%20teorema%2Cy%20despejando%20b%20nos%20queda%3A%7D%5C%5C%5C%5Cb%5E%7B2%7D%3Dc%5E%7B2%7D-a%5E%7B2%7D%5C%5Cb%3D%5Csqrt%7Bc%5E%7B2%7D-a%5E%7B2%7D%7D%5C%5C%5Ctextbf%7BSustituyendo%20los%20datos%20previos%7D%20%5C%5C%5C%5Cb%3D%5Csqrt%7B%2812%29%5E%7B2%7D-%284%29%5E%7B2%7D%7D%5C%5Cb%3D%5Csqrt%7B144-16%7D%5C%5Cb%3D%5Csqrt%7B128%7D%5C%5Cb%3D%5Csqrt%7B%2864%29%282%29%7D%5C%5Cb%3D%5Csqrt%7B64%7D%5Csqrt%7B2%7D%5C%5Cb%3D8%5Csqrt%7B2%7D" />.