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ADUSUMILLI SRI RAM

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detail Solutio (Question:250599.0)

detail

Question:

In a right angle triangle ABC. B is right angle. A perpendicular BN is drawn from B on AC. IF AB = 8 cm and BC = 6 cm, then find the length of AN.

Options:

A)

6.4

B)

3.6

C)

8

D)

10

Solution:

$\frac{A N}{N C} = \frac{A B^{2}}{B C^{2}}$

$\frac{A N}{N C + A N} = \frac{A B^{2}}{A B^{2} + B C^{2}}$

$\frac{A N}{A C} = \frac{A B^{2}}{A C^{2}}$

$A N = \frac{A B^{2}}{A C} = \frac{{(8)}^{2}}{10} = 6.4$

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