Question

actividad
encontrar la hipotenusa​

Answer 1

Respuesta:

${hipotenusa}^{2} = {cateto}^{2} + {cateto}^{2}$

$1) {hipotenusa}^{2} = {6}^{2} + {14}^{2} \\ {hipotenusa}^{2} = 36 + 196 \\ { hipotenusa }^{2} = 232 \\ hipotenusa = \sqrt{232} \\ hipotenusa = 15.23 \: u$

$2) {hipotenusa}^{2} = {6}^{2} + {8}^{2} \\ { hipotenusa }^{2} = 36 + 64 \\ {hipotenusa}^{2} = 100 \\ hipotenusa = \sqrt{100} \\ hipotenusa = 10 \: cm$

$3) { hipotenusa }^{2} = {10}^{2} + {5}^{2} \\ {hipotenusa}^{2} = 100 + 25 \\ { hipotenusa }^{2} = 125 \\ hipotenusa = \sqrt{125} \\ hipotenusa = 11.18 \: m$

$4) {7}^{2} = {cateto}^{2} + {5}^{2} \\ 49 = {cateto}^{2} + 25 \\ 49 - 25 = {cateto}^{2} \\ 24 = {cateto}^{2} \\ \sqrt{24} = cateto \\ 4.90 \: cm = cateto$