Question

Calculating DE on this right triangle?

Answer 1

ok... this problem uses similar triangles and the common side GE....


so looking at triangles

DGE and GFE



looking at the side ratios of triangle I to triangle II you have

\[\frac{3}{GE} = \frac{GE}{8}\]

so \[EG^2 = 24\]

after cross multiplying

now use pythagoras's theorem on triangle DGE to find DE

\[DE^2 = DG^2 + EG^2\]

you already have EG^2

so

\[DE^2 = 3^2 + 24\]

I'll leave you to finish it.

Answer 2

how about sqrt of 33

Answer 3

15 was for a different question, sorry. I'm still trying to solve this one, almost got it.

Answer 4

And I got 33. So thankyou!

Answer 5

hope it helps... its a tough question