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d - przekątna kwadratu
I sposób
d = 6 cm
d = a√2
a√2 = 6 |:√2
a = 6/√2
a = 6√2/2
a = 3√2 cm
II sposób
z tw. Pitagorasa
a²+a² = d²
2a² = 6²
2a² = 36 |:2
a² = 18
a = √18
a = √9*√2
a = 3√2 cm
d=6 cm
wzór na przekątną wynosi d=a√2
podstawiasz
a√2=6 /*√2
a√2*√2=6√2
2a=6√2 /:2
a=6√2 /2
a=3√2 cm