Question

In this plan, segments AB, EF, GH, and JK are perpendicular to base BC. The instructions call for extra pieces of wood to reinforce AE, EG, GJ, and JC. Given AE = 42.2 cm, find EG to the nearest tenth of a centimeter.

42.2 cm , 40.1 cm , 36.6 cm , or 36.9 cm ??

Answer 1

In this plan, segments AB, EF, GH, and JK are perpendicular to base BC. The instructions call for extra pieces of wood to reinforce AE, EG, GJ, and JC. Given AE = 42.2 cm, find EG to the nearest tenth of a centimeter.
42.2 cm , 40.1 cm , 36.6 cm , or 36.9 cm ??

Answer 2

Use pythagoras, find AC (158 cm)
use the similarity of the triangles =>

BC/FC = AC/EC

find that EC is about 116 cm

Same trick GC => GC is 73.7 cm

116-73.7 = EG

Answer 3

So what would be the answer Henkjan? I tried it and I'm confused.

Answer 4

I'd go with 42.2

Answer 5

thats why I was just going to say.

Answer 6

You can also do it the easier way:

|BC|/|FH| = |AC|/|EG|

Answer 7

This is what I came up with 42.41

Answer 8

I got 42.16 if I calculate it at once

Answer 9

Alright thanks, I'm going to stick with 42.2 as the answer then. : )