Question

Calcular en valor del lado azul en cada triángulo rectángulo

Answer 1

Respuesta:

a) 13/10

b) 3/2

Explicación paso a paso:

${x}^{2} = ( \frac{1}{2})^{2} + {( \frac{6}{5}) }^{2}$

a)

${x}^{2} = \frac{1}{4} + \frac{36}{25} \\ {x}^{2} = \frac{25 + 144}{100} = \frac{169}{100} \\ x= \sqrt{ \frac{169}{100} } = \frac{13}{10}$

b)

${x}^{2} = ( \frac{5}{2})^{2} - {2}^{2} \\ {x}^{2} = \frac{25}{4} - 4 \\ {x}^{2} = \frac{25 - 16}{4} = \frac{9}{4} \\ x = \sqrt{ \frac{9}{4} } \\ x = \frac{3}{2}$