Question

ayuda con estos triangulos doy 19 pts

Answer 1

El teorema de Pitágoras dice que: $a^{2} + b^{2} = c^{2}$
DOnde a y b son los catetos y c la hipotenusa. Aplicándolo:
1°: $7^{2} + x^{2} = 10^{2}$
49 + x^{2} =100
x=$\sqrt{51}$
2°: $5^{2} + x^{2} = (8 \sqrt{3})^{2} \\ 25+ x^{2} =64(3)$
$25 + x^{2} =192 \\ x^{2} =167 \\ x= \sqrt{167}$
3°:$8^{2} + (\sqrt{3})^{2} = x^{2} x \\ 64 + 3 = x^{2} \\ 67 = x^{2} \\ x = \sqrt{67}$
4°: $(\sqrt{3})^{2} + (2\sqrt{2})^{2} = x^{2} \\ 3 + 8 = x^{2} \\ x = \sqrt{11}$