Question

Given:Triangle A B C is similar to triangle X Y Z~Triangle A B C is similar to triangle X Y Zwith altitudes CR and ZS. ZS = 12, XY = 15, YZ = 18 and AB = 20, find the measure of CR.

Answer 1

use triangle similarity properties
proportions are equal

Answer 2

From the similarity we have AB/XY=BC/YZ=AC/XZ=CR/ZS=20/18=10/9

Answer 3

we also know that ZS=12
so CR/12=10/9
then solve for CR

Answer 4

oh sorry error AB/XY should be 20/15 not 20/18
20/15 is reduced to 4/3
so CR/12=4/3