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(½d₁)²+(½d₂)²=a²
¼d₁+¼d₂=4²
d₁+d₂=16
2:3
2x+3x=16
5x=16
x=3,2
d₁=2x=2×3,2=6,4
d₂=3x=3×3,2=9,6
P=½ d₁×d₂
P=½ 61,44
P=30,72 cm²