Question

Seth is using the figure shown below to prove the Pythagorean Theorem using triangle similarity:

In the given triangle DEF, angle D is 90° and segment DG is perpendicular to segment EF.

The figure shows triangle DEF with right angle at D and segment DG. Point G is on side EF.

Part A: Identify a pair of similar triangles.

Part B: Explain how you know the triangles from Part A are similar.

Part C: If EG = 2 and EF = 8, find the length of segment ED. Show your work.

Answer 1

do you have your 2 triangles?

Answer 2

Yeah EGD and FGD

Answer 3

ok good

Answer 4

I really just need Part C

Answer 5

you know the pythagoreon theorum right?

Answer 6

yeah
a squared plus b squared equals c squared

Answer 7

ok so EG= 2 so that a squared

Answer 8

So is EF=8 b squared

Answer 9

do you know what perpendicular means?

Answer 10

Yes

Answer 11

ok give me one sec

Answer 12

do you know what DG is?

Answer 13

Isnt it 2?

Answer 14

So 2 squared plus 2 squared is 2.8 so is it 2.8

Answer 15

mm i dont believe so let me check.

Answer 16

i want to say GD is =GF

Answer 17

I think it is

Answer 18

so 2 squared + 8 squared = c squared

Answer 19

that would be 8.25 it cant be that because that would mean ed is longer than ef

Answer 20

oh sorry i meant 2 squared + 6 squared = c squared

Answer 21

how did you get the 6 squared

Answer 22

GF= 6

Answer 23

If EG=2 and EF=8 then EF-EG=GF so 8-2=6

Answer 24

ok

Answer 25

thanks

Answer 26

sorry it took so long its been a couple years since ive done geometry