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.

Guest Oct 31, 2019

#1**+1 **

BC = 4 (pythagorean theorem)

BD = 2/3 (4) Similar triangles

BE = 2/3 (5) Similar triangles

ElectricPavlov Oct 31, 2019

#2**0 **

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**+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