Question

In the adjoining diagram the length of PR is ______.

Options

• `3sqrt(3)` cm

• `6sqrt(3)` cm

• `9sqrt(3)` cm

• 18 cm

Answer 1

In the adjoining diagram the length of PR is `underlinebb(6sqrt(3)  cm)`.

Explanation:

Here,

• θ = 60^∘

• Opposite to ∠P is QR = 9 cm

• Hypotenuse is PR

`sin(60^\circ) = (QR)/(PR)`

`sqrt3/2 = 9/(PR)`

`PR = (9xx2)/sqrt3 = 18/sqrt3 = 6sqrt3 cm`