Объяснение:
1.
По теореме косинусов
FK²=FN²+KN²-2*FN*KN*cosN=16+25-2*20*1/2=41-20=21; FK=√21
2.
AQ²=QM²+AM²-2*QM*AM*cosM=36+36-2*36*(-1/2)=72+36=108; AQ=√108=6√3
3.
∠M=180-75-60=45°
КВ²=KM²+BM²-2*KM*BM*cos45=16+8-2*8√2*√2/2=24-16=8; KB=√8=2√2.
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Answers & Comments
Объяснение:
1.
По теореме косинусов
FK²=FN²+KN²-2*FN*KN*cosN=16+25-2*20*1/2=41-20=21; FK=√21
2.
AQ²=QM²+AM²-2*QM*AM*cosM=36+36-2*36*(-1/2)=72+36=108; AQ=√108=6√3
3.
∠M=180-75-60=45°
КВ²=KM²+BM²-2*KM*BM*cos45=16+8-2*8√2*√2/2=24-16=8; KB=√8=2√2.