Question

alguien me puede ayudar.?​

Answer 1

Respuesta:

$z^{2} = {y}^{2} + {x}^{2} \\ x^{2} = {z}^{2} - {y}^{2} \\ z = \sqrt{ {y}^{2} + {x}^{2} } \\ x = \sqrt{(z + y)(z - y)} \\ y^{2} = z^{2} - x^{2} \\ y = \sqrt{(z + x)(z - x)}$

${c}^{2} = {a}^{2} + {a}^{2} = 2 {a}^{2} \\ {a}^{2} = \frac{ {c}^{2} }{2} \\ 2 {a}^{2} = {c}^{2} \\ c = \sqrt{2 {a}^{2} } = a \sqrt{2} \\ a = \sqrt{ \frac{ {c}^{2} }{2} } = \frac{c}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{c \sqrt{2} }{2}$

listo.