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Safari321

  • 3 years ago

In the diagram of the park, ADF~BCF. The crosswalk at point A is about 20 yd long. A bridge across the pond will be built, from point B to point C. What will the length of the bridge be? Diagram in question...

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  1. Safari321
    • 3 years ago
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    |dw:1350944261807:dw|

  2. JakeV8
    • 3 years ago
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    Since the 2 triangles are similar, their sides are proportional. You also know AD is 20 yards, since it tells you that is the crosswalk length at A. So the proportion is 50 / 120 = 20 / BC Or if you flip it over, 120 / 50 = BC / 20 Then you can solve for BC... 120 / 50 = BC / 20 (20)(120/50) = BC

  3. Safari321
    • 3 years ago
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    thanks Jake I believe the answer is 48

  4. JakeV8
    • 3 years ago
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    That's correct... Glad to help :) Does it make sense? It's just a matter of setting up the proportions to match the corresponding parts of the triangles, then solving for the part you need.

  5. Safari321
    • 3 years ago
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    It makes to me now :)) oh oh

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