Question

Calcula "x" :
a) √17
b) 2√17
c) 5
d) 4√13
e) 3√17
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Answer 1

Explicación paso a paso:

por teorema de coseno

${x}^{2} = ({2 \times \sqrt{2} } )^{2} + {6}^{2} - 2 \times 2 \times \sqrt{2} \times 6cos135 \\ {x}^{2} = 8 + 36 + 24 \times \sqrt{2} \times \sqrt{2 } \div 2 \\ {x}^{2} = 44 + 24 \\ {x}^{2} = 68 \\ {x} = \sqrt{4 \times 17} = 2 \sqrt{17}$