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1. In the right triangles shown, the measure of angle ABC is the same as the measure of angle EBD. What is the length of side BE?

 

Link to image: https://imgur.com/a/TzmZHPl

 

Please help me! I'm confused on how to get the missing side.

 Oct 31, 2019
 #1
avatar+19838 
+1

BC = 4  (pythagorean theorem)

 

BD = 2/3 (4)    Similar triangles   

BE = 2/3 (5)    Similar triangles

 Oct 31, 2019
 #2
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I understand how the side BC is 4 but how did you get BD or BE? What work did you do, a proportion?

Guest Oct 31, 2019
 #3
avatar+19838 
+1

Rules of similar triangles....

2 is to 3    as bd is to bc

2/3 = bd/bc

2/3 bc = bd

2/3  4 = bd

 

Then you can use the same rules (or pythagorean theorem) to find BE

ElectricPavlov  Oct 31, 2019

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