Question

Ayúdenme, xfavor ✨✨​

Answer 1

Respuesta:

$1) {hipotenusa}^{2} = {cateto}^{2} + {cateto}^{2} \\ {415}^{2} = {280}^{2} + {c}^{2} \\ 172225 = 78400 + {c}^{2} \\ 172225 - 78400 = {c}^{2} \\ 93825 = {c}^{2} \\ \sqrt{93825} = c \\ 306.3m = c$

${a}^{2} = {b}^{2} + {c}^{2} \\ {a}^{2} = {33}^{2} + {21}^{2} \\ {a}^{2} = 1089 + 441 \\ {a}^{2} = 1530 \\ a = \sqrt{1530} \\ a = 39.11m$

$3) {a}^{2} = {b}^{2} + {c}^{2} \\ {6}^{2} = {4}^{2} + {c}^{2} \\ 36 = 16 + {c}^{2} \\ 36 - 16 = {c}^{2} \\ 20 = {c}^{2} \\ \sqrt{20} = c \\ 4.47m = c$

$4) {a}^{2} = {b}^{2} + {c}^{2} \\ {a}^{2} = {3}^{2} + {5}^{2} \\ {a}^{2} = 9 + 25 \\ {a}^{2} = 34 \\ a = \sqrt{34} \\ a = 5.83m$