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Q.

In a right triangle ABC, B = 90°. If AC = 13 cm, BC = 5 cm, then AB is ____________.

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a

12 cm

b

10 cm

c

11 cm

d

13 cm  

answer is C.

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Detailed Solution

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Given B = 90°, AC = 13 cm and BC = 5 cm.
Let's make a right-angle triangle
Question Image

Let AB= X cm.
Use Pythagoras theorem.
AC2=AB2+ BC2
132=X2+ 52
169= X2+ 25
169-25= X2
X2 = 144
X = 12
Therefore, the length of AB = 12 cm 

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