QUESTION IMAGE
Question
- if the trapezoids are similar, find the length of side w.
y = 80 mm, x = 60 mm, a = 70 mm, c = 50 mm
84 mm
56 mm
44 mm
112 mm
Step1: Find similarity ratio
Ratio = $\frac{y}{c} = \frac{80}{50} = \frac{8}{5}$
Step2: Relate w and a via ratio
$\frac{w}{a} = \frac{8}{5}$
Step3: Solve for w
$w = a \times \frac{8}{5} = 70 \times \frac{8}{5}$
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112 mm