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here is the question,

In the figure, triangles ABC and BCD are equilateral triangles. What is the value of AD / BC when expressed in simplest radical form?

I dont understand at all. Can someone help me?

Thx

 Jun 28, 2020
 #1
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For simplicity,  assume the triangles are side length of 1

  Line AD is TWO of the equilateral triangles heights    BC is just one of the side lengths = 1

Formula for height of equlateral triangle:  sqrt 3/2  * side length = sqrt3/2 *1 = sqrt3/2

    but you  have two of these  so 2 * sqrt3/2 = sqrt 3

 

Now ratio oa AD to BC  is    sqrt 3 / 1 = sqrt 3

 Jun 28, 2020
 #2
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Wow that was much simplier than I thought! 

Thank you so much!!!

Guest Jun 28, 2020
 #3
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You're welcome! cheeky

ElectricPavlov  Jun 28, 2020

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