Question

Por favor! Encuentra el valor de w

Answer 1

$aplicado \: formula \: de \: pitagoras \\ {b}^{2} = {a}^{2} + {c}^{2} \\ ( {3 \sqrt{10} )}^{2} = {(3w)}^{2} + ( {w)}^{2} \\ 90 = 9 {w}^{2} + {w}^{2} \\ 90 = {10w}^{2} \\ {w}^{2} = \frac{90}{10} \\ {w} = \sqrt{9} \\ w = 3$