Question

The figure shown below contains two similar triangles. Find the unknown measure indicated by a variable. Answer to the nearest tenth.

Z=

Answer 1

36.4

Explanation:

1. rule is

`(AB)/(BH) =(BC)/(BD); \ or \ (z)/(BH) =(BC)/(BD);`

2. according to the rule above

`z=(BH*BC)/(BD); \ = > \ z=(15(20+14))/(14)=(15*34)/(14)=36.42857.`

3. finally, z=36.4

PS. additional details are in the attachment.