This final project discusses some proofs of Fibonacci-type Pythagorean triangle in determining a sequence {△F,n : n > 0} with △F,n is Fibonacci Pythagorean triangles constructed by Fibonacci numbers Fn, investigates interrelationships of △F,n and △F,n+1, then considers inradius of Fibonacci Phytagorean triangles. Fibonacci type Pythagorean triangle is proved by using direct method a…