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.
BC = 4 (pythagorean theorem)
BD = 2/3 (4) Similar triangles
BE = 2/3 (5) Similar triangles
I understand how the side BC is 4 but how did you get BD or BE? What work did you do, a proportion?
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