Question

In given figure, ABCD is a || gm. The length of AP is ____________.

Options

• 2 cm

• 4 cm

• 6 cm

• 8 cm

Answer 1

In given figure, ABCD is a || gm. The length of AP is 6 cm.

Explanation:

Since ABCD is a || gm
`therefore "AD = BC" = 4sqrt3`

In rt `Delta "APD, sin"  60^circ = "AP"/"AD"`

`=> sqrt3/2 = "AP"/(4 sqrt3)`

`=> 2  "AP" = 4 xx 3 = 12`

`therefore "AP" = 6  "cm"`