Question

If BH=3, BF=10, GH=2, Find HD
If AC=12, BC=3 Find CE
If cG=10, AC=8, BC=5, find DC

https://media.glynlyon.com/g_geo_2012/7/group178.gif

Answer 1

It looks like triangles BHD and GHF are similar. Do you know what the rules are for similar triangles?

Answer 2

use
BH*HF = GH*HD
so HD = (BH*HF)/GH = 3 * 7 /2 21/2 10.5

Answer 3

AC*BC =CE^2
CE^2 = 12*3 =36
hence CE= 6

Answer 4

use
CG*DC = AC*BC
DC= AC*BC / CG =8*5/10 =4