Răspuns:
Explicație pas cu pas:
Pentru a putea vedea care dintre triplete sunt lungimi
ale unui triunghi dreptunghic , folosim formula :
a² + b² = c²
a) (20,15,25)
20²+15² = 400+225 = 625 = 25² , corect
b) (6,8,10)
6²+8² = 36+64 = 100 = 10² , corect
c) (5,12,13)
5²+12² = 25+144 = 169 = 13² , corect
d) (6,14,15)
6²+14² = 36+196 = 232 ≠ 15² , 232 ≠225 incorect
e) (12,16,20)
12²+16² = 144+256 = 400 = 20² , corect
f) (9,12,15)
9²+12² = 81+144 = 225 = 15² , corect
g) (3,4,5)
3²+4² = 9+16 = 25 = 5² , corect
h) (4,5,7)
4²+5² = 16+25 = 41 ≠49 (7²=49) , incorect
i) (7,24,25)
7²+24² = 49+576 = 625 = 25² , corect
j) (24,10,26)
24²+10² = 576+100 = 676 = 26² , corect
k) (21,13,27)
21²+13² = 441+169 = 610 ≠ 729 (27²=729) , incorect
l) (8,15,17)
8²+15² = 64+225 = 289 = 17² , corect