a)
✏ ABC triunghi dreptunghic in A
< A + < B + < C = 180°
90° + 30° + < C = 180°
120° + < C = 180°
< C = 180° - 120°
< C = 60°
T 30 - 60 - 90
===============> CB = 2AC
BC = 2 • 6
BC = 12 cm
TP
====> AB² + AC² = BC²
AB² + 6² = 12²
AB² + 36 = 144
AB² = 108
[tex]AB = \sqrt{108} [/tex]
[tex]AB \: = 6 \sqrt{3} [/tex] ✅
b)
✏ DEF triunghi dreptunghic in D
===> DEF - triunghi dreptunghic isoscel
===> DF = DE = 7 cm
TP
===> DF² + DE² = EF²
7² + 7² = EF²
49 + 49 = EF²
EF² = 98
[tex]EF= \sqrt{98} [/tex]
[tex]EF= 7\sqrt{2} [/tex] ✅
c)
✏ KLM triunghi dreptunghic in K
T 30 - 60 - 90
===============> < KLM = 30° si < KML = 60°
TP
====> KM² + KL² = LM²
4² + KL² = 8²
16 + KL² = 64
KL² = 64 - 16
KL² = 48
[tex]KL= \sqrt{48} [/tex]
[tex]KL= 4 \sqrt{3} [/tex] ✅