$\\triangle abc$ and $\\triangle def$ are similar. find the missing side length.\n(the triangles are not…

$\\triangle abc$ and $\\triangle def$ are similar. find the missing side length.\n(the triangles are not drawn to scale.)

$\\triangle abc$ and $\\triangle def$ are similar. find the missing side length.\n(the triangles are not drawn to scale.)

Answer

Explanation:

Step1: 求相似比

相似比为对应边的比值,$\frac{DE}{AB}=\frac{30}{5}=6$

Step2: 计算对应未知边长

未知边对应$\triangle ABC$的$BC$边,长度为$8\times6$ <Expression>$8\times6=48$</Expression>

Answer:

48