Question

In triunghiul dreptunghic MNP cu masura unghiului M=90° si MQ perpendicular NP, calculeaza MN daca PQ=12cm si QN=4 cm.

Answer 1

In NMP: NP²=MN²+MP² 
NP = 16, deci NP²=16²=256⇒ MN²+MP²=256 
In MQN: MN²=NQ²+MQ²
NQ=4⇒NQ²=16⇒ MN²=16+MQ² 
In MPQ: MP²=MQ²+QP² 
QP=12 ⇒ QP²=144 ⇒ MP²= 144+ MQ²
MN²+MP²=256 devine 16+MQ²+144+MO²=256 ⇒ 2MQ²=96⇒MQ²=48.
PMN,iar MN²=16+MQ² . MQ²,deci MN²=16+48=64 ⇒ MN=8

Answer 2

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