Question

In given figure, AD = 4 cm, BD = 3 cm and CB = 12 cm. The value of tan `theta` is ____________.

विकल्प

• `5/13`

• `12/13`

• `5/12`

• `12/5`

Answer 1

In given figure, AD = 4 cm, BD = 3 cm and CB = 12 cm. The value of tan `theta` is `underline(5/12)`.

Explanation:

In rt `Delta "ADB",`

`"AB"^2 = "AD"^2 + "BD"^2`

`= (4)^2 + (3)^2`

`= 16 + 9 = 25`

`therefore "AB" = sqrt 25 = 5`

`therefore "In rt"  Delta "ABD, tan"  theta  "Ab"/"BC" = 5/12`