Question

The value of tan A is ______.

Options

• `5/12`

• `12/13`

• `5/13`

• `13/12`

Answer 1

The value of tan A is `bbunderline(5/12)`.

Explanation:

In right-angled triangle PQR, hypotenuse PQ = 13 cm and base QR = 12 cm. Using the Pythagorean theorem, the perpendicular side PR:

\[\text{PR} = \sqrt{13^2 - 12^2} = \sqrt{169 - 144} = \sqrt{25} = 5\text{ cm}\]

Therefore, \[\tan A = \frac{\text{Perpendicular}}{\text{Base}} = \frac{\text{PR}}{\text{QR}} = \frac{5}{12}\].