Question

1)În triunghiul dreptunghic MNP, <M=90°, MQ _|_ NP, Q € (NP), se dau:
a) PQ = 12,8 cm şi NQ = 7,2 cm. Calculați NP, MN, MP şi MQ.



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Answer 1

PQ=12,8cm

NQ=7,2cm

NP=12,8+7,2=20cm

MQ²=NQ×QP

MQ²=12,8×7,2

MQ=√92,16

MQ=9,6cm

Aplicam Teorema catetei

MP²=PQ×NP

MP²=12,8×20

MP²=256

MP=16cm

MN²=NQ×NP

MN²=7,2×20

MN²=144

MN=12cm