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In Fig. 5.48, A D=4c m , B D=3c m and...

In Fig. 5.48, `A D=4c m` , `B D=3c m` and `C B=12 c m` , find `cottheta` . `(12)/5` (b) `5/(12)` (c) `(13)/(12)` (d) `(12)/(13)` (FIGURE)

A

12/5

B

5/12

C

13/12

D

12/13

Text Solution

Verified by Experts

The correct Answer is:
12/5
` /_\ABD` is right angle triangle
Applying Pythagoras theorem
`AB^2 = BD^2 + AD^2`
`:. AB^2= 3^2 + 4^2`
`:. AB^2= 9+16 `
`:. AB^2 =25`
`:. AB =5`
Now, tan theta `= (AB)/(BC)`
...
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