Question

The triangles below are similar. Explain how you would find the distance from Springdale to Porter. Then find the distance.

Solution

Verified

If two triangles are similar, then their corresponding sides are proportional. If xx is the distance from Springdale to Porter, which corresponds to the 240 km length, then we can write:

x240=82.560\dfrac{x}{240}=\dfrac{82.5}{60}

x=82.560(240)x =\dfrac{82.5}{60}(240)

x=82.5(4)x =82.5(4)

x=330 kmx =\color{#c34632}330\text{ km}

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