Question

¿Cuánto mide el lado a? ​

Answer 1

Respuesta:

APLICAMOS LA LEY DEL COSENO

${a}^{2} = {b}^{2} + {c}^{2} - 2(bc \cos( \alpha ) )$

${a}^{2} = {7.1}^{2} + {6.36}^{2} - 2((6.36)(7.1) \cos( 75.47) )$

${a}^{2} = 50,41 + 40,4496 - 2(45,156x\cos( 75.47) )$

${a}^{2} = 50,41 + 40,4496 - 2(45,156 \times 0.25088689)$

${a}^{2} = 50,41 + 40,4496 - 2(11,3300519524)$

${a}^{2} = 90,8596 - 22,6601039048$

${a}^{2} = 68,1994960952$

$\sqrt{ {a}^{2} } = \sqrt{68,1994960952}$

$a = 8,26$