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

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

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

Answer

Explanation:

Step1: Find similarity ratio

$\text{Ratio} = \frac{AC}{XZ} = \frac{7}{49} = \frac{1}{7}$

Step2: Match corresponding sides

Side $BC$ corresponds to side $YZ$.

Step3: Calculate missing side length

$BC = YZ \times \text{Ratio} = 56 \times \frac{1}{7}$

Answer:

8