Explicación paso a paso:
1.
[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ \sqrt{ {a}^{2} + {b}^{2} } = c \\ \sqrt{ {120}^{2} + {90}^{2} } = c \\ \sqrt{14000 + 8100 } = c \\ \sqrt{22100} = c \\ 148.66 cm= c[/tex]
2.
[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {a}^{2} = {c}^{2} - {b}^{2} \\ a = \sqrt{ {c}^{2} - {b}^{2} } \\ a = \sqrt{ {55}^{2} - {42}^{2} } \\ a = \sqrt{3025 - 1764} \\ a = \sqrt{1261} \\ a = 35.51cm[/tex]
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Explicación paso a paso:
1.
[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ \sqrt{ {a}^{2} + {b}^{2} } = c \\ \sqrt{ {120}^{2} + {90}^{2} } = c \\ \sqrt{14000 + 8100 } = c \\ \sqrt{22100} = c \\ 148.66 cm= c[/tex]
2.
[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {a}^{2} = {c}^{2} - {b}^{2} \\ a = \sqrt{ {c}^{2} - {b}^{2} } \\ a = \sqrt{ {55}^{2} - {42}^{2} } \\ a = \sqrt{3025 - 1764} \\ a = \sqrt{1261} \\ a = 35.51cm[/tex]