Question

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Answer 1

Explicación paso a paso:

1.

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

2.

${a}^{2} = {c}^{2} - {b}^{2} \\ {a}^{2} = {(25)}^{2} - {(15)}^{2} \\ {a}^{2} = 625 - 225 \\ {a}^{2} = 400 \\ a = \sqrt{400} \\ a = 20$

3.

${a}^{2} = {c}^{2} - {b}^{2} \\ {a}^{2} = {(20)}^{2} - {(14.32)}^{2} \\ {a}^{2} = 400 - 205.0624 \\ {a}^{2} = 194.9376 \\ a = \sqrt{194.9376} \\ a = 13.96$

4.

${c}^{2} = {a}^{2} + {b}^{2} \\ {c}^{2} = {(12.3)}^{2} + {(13.5)}^{2} \\ {c}^{2} = 151.29+ 182.25 \\ {c}^{2} = 333.54 \\ c = \sqrt{18.26}$

Answer 2

1)

b = √5² + 3²

b = √25 + 9

b = √34

b = 5.83 ≈ 6

2)

x = √25² - 15²

x = √625 - 225

x = √400

x = 20

3)

a = √20² - 14,32²

a = √400 - 205

a = √195

a = 13.96 ≈ 14

4)

x = √12.3² + 13.5²

x = √151.29 + 182.25

x = √333.54

x = 18.26

Espero haberte ayudado. Suerte en los estudios ≧◠◡◠≦.