Question

in the figure,MN||BC,AM=5cm,AN=10cm,NC=16cm,caluclateMB​

Answer 1

Answer:

I hope it is correct answer mark as brainlist answer

Answer 2

Answer: 8 cm .

Step-by-step explanation:

Given that MN║BC

So ∠AMN = ∠ABC (Corresponding Angles)

∠ANM = ∠ACB (Corresponding Angles)

∠MAN = ∠MAN (Common)

So we can say ΔAMN ≈ ΔABC .

Hence by similarity , $\frac{AM}{AN} = \frac{AB}{AC}$

We know AM = 5 cm , AN = 10 cm , NC = 16 cm .

So AC = AN + NC = (10 + 16) = 26 cm .

Hence $\frac{5}{10} = \frac{AB}{26}$

=> AB = $\frac{26*5}{10}$

=> AB = 13 cm .

Hence MB = AB - AM = (13 - 5) = 8 cm .

Hope this helps you .

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