Question

Determinati lungimea diagonalei unui patrat a carui latura are lungimea de :a)5m;b)3radical2cm;c)4radical3dm;d)a metri.2)Determinati lungimea laturii unui patrat a carui diagonala are lungimea de :a)16cm;b)1dm;c)2radical3cm;d)9radical2m;e)d cm.

Answer 1

1) d=l√2
a) d=5√2 m
b) d=3√2 ×√2=12 cm
c) d=4√3 ×√2=4√6 dm
d) d=a√2 m
2) l=d/√2
a) l=16/√2=16√2 / 2 = 8√2cm
b) l=1/√2= √2/2 dm
c) l=2√3 / √2=2√6 / 2=√6 cm
d) l=9√2 / √2= 36 /2=18 m
e) l= d / √2 = d√2 / 2 cm