Question

Which conclusion is most likely correct about the figure?

The length of side DC is equal to 5 cm.

The length of side DC is equal to 7 cm.

The length of side DC is greater than 15 cm.

The length of side DC is equal to 15 cm.

Answer 1

the last one

Answer 2

actually the dc is greater then 15cm

Answer 3

use the law of sin (sinA\a=sinB\b=sinC\c, as A is opposite to a, B is opposite to b, C is opposite to c to find angle ACB. then you can find angle BAC. Then side BC with either tan sin or cos. Than you can find side DC with the law of cos (a^2=b^2+c^2-(2*b*c*cosA), or b^2=a^2+c^2-(2*a*c*cosB), c^2=b^2+a^2-(2*b*a*cosB))
Will this be OK?

Answer 4

PS, big letters are angles and small letters sides.