Question

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Answer 1

7)

Encontrar AC

$Co^2 = a^2 - Ca^2 \\ \\ Co^2 = (2 \sqrt{5} )^2 - 2^2 \\ \\ Co^2 = 20 - 4 \\ \\ Co = \sqrt{16} \\ \\ Co = 4$

AC = 4

Encontrar HC
$4^2 = 2 \sqrt{5} *n \\ \\ 2 \sqrt{5} *n = 16 \\ \\ n = \frac{16}{2 \sqrt{5} } \\ \\ n = \frac{8 \sqrt{5} }{5}$

Encontar BH
$2^2 = 2 \sqrt{5} *n \\ \\ 2 \sqrt{5} *n = 4 \\ \\ n = \frac{4}{2 \sqrt{5} } \\ \\ n = \frac{2 \sqrt{5} }{5}$
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8)
Encontar AC

$Co^2 = 4^2 - 2^2 \\ \\ Co^2 = 16 - 4 \\ \\ Co^2= 12 \\ \\ Co = \sqrt{12} \\ \\ Co = 2 \sqrt{3}$

AC = $2 \sqrt{3}$
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Encontrar AD
$Co^2 = (2 \sqrt{3} )^2 - 2^2 \\ \\ Co^2 = 12 - 4 \\ \\ Co = \sqrt{8} \\ \\ Co = 2 \sqrt{2}$

AD = $2 \sqrt{2}$
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Encontrar H

$h* 2 \sqrt{3} = 2 * 2 \sqrt{2} \\ \\ h * 2 \sqrt{3} = 4 \sqrt{2} \\ \\ h = \frac{ 4 \sqrt{2}}{2 \sqrt{3} } \\ \\ h = \frac{2 \sqrt{6} }{3}$