Hualien County is located on the "east bank" of Taiwan. The vast majority of Taiwan's population is concentrated in the West Bank, and the Eastern side is mostly mountains and sparsely populated. There are more than 200 mountain peaks in TW that are higher than 3,000 meters.
Taroko National Park (太魯閣國家公園):
http://en.wikipedia.org/wiki/Taroko_National_Park
http://www.taroko.gov.tw/
http://www.traveltaiwan.com/e/g1.htm <--- photos
As you can see, this national park has a lot of trails that are next to cliffs. Try not to lean out too far on the rails.
Yushan National Park (玉山國家公園)
http://en.wikipedia.org/wiki/Yushan_National_Park
http://wikitravel.org/en/Yushan
Please note, Yushan is the highest mountain in TW, and its trails are physically challenging. Not recommended if you have heart condition.
