a=cateta 1
b=cateta 2
a/b=5/6
a=5b/6
a²=25b²/36
a²+b²=122²
25b²/36+b²=122²
25b²+36b²=122²x36
61b²=61²x2²x6²
b²=61x2²x6²
b=12√61
a=5x12√61/6=10√61
Aria = 12√61x10√61/2=60x61=3660 cm²
Aria =Bxh/2
h=2x3660:122=60 cm
proiectia lui a =√[(10√61)²-60²]=√(6100-3600)=√2500=50 cm
proiectia lui b =√[(12√61)²-60²]=√(8784-3600)=√5184=72 cm