60.2k views
0 votes
Can someone please help me with this geometry question??? ​

Can someone please help me with this geometry question??? ​-example-1
User Kodaloid
by
6.3k points

1 Answer

4 votes

Answer:

  • x = 6
  • BC = 10
  • AC = 12

Explanation:

The length of EA is the difference between AD (6) and ED (5), so is ...

6 - 5 = 1

That is, the distance ED is 5 times the distance EA.

The two triangles are similar, so the distance BC will be 5 times the distance BA:

BC = 5·AB

BC = 5·2 = 10 . . . . . substitute for length AB

x +4 = 10 . . . . . . . . . substitute for length BC

x = 10 -4 = 6 . . . . . . subtract 4

We already know BC = 10. Of course AC = AB + BC = 2+10 = 12.

The lengths of interest are x=6, BC=10, AC=12.

User Vencovsky
by
6.0k points