Question

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Answer 1

ΔABC=ΔMNP

=>AB=MP và BC=NP

4AB=3BC 

=>BC=4/3 AB 

2NP-MP=16

=>2BC-AB=16 

=>2⋅4/3 AB - AB  =16 

=>5/3 AB = 16 

=> AB = 9,6 cm 

BC = 4/3 . 9,6 = 12,8 cm

ΔABC=ΔMNP

=>AC=MP=24cm

Chu vi tam giác ABC là:

9,6  +  12,8 + 24  =46,4(cm)

Answer 2

Ta có:

\(2NP-MP=16\left(cm\right)\)

Mà \(MP=24cm\) (gt)

\(\Rightarrow2NP+24=16\)

\(\Rightarrow2NP=24+16\)

\(\Rightarrow2NP=40\)

\(\Rightarrow NP=40:2=20\left(cm\right)\)

Do \(\Delta ABC=\Delta MNP\left(gt\right)\)

\(\Rightarrow BC=NP=20\left(cm\right)\)

\(AC=MP=24\left(cm\right)\)

\(4AB=3BC\) (gt)

\(\Rightarrow4BC=3.20\)

\(\Rightarrow4BC=60\)

\(\Rightarrow BC=60:4=15\left(cm\right)\)

Chu vi \(\Delta ABC:\)

\(AB+AC+BC=15+24+20=59\left(cm\right)\)