Answer :
Answer:
CD=\sqrt{3} 3
Step-by-step explanation:
We are given triangle ABC.
CD is a perpendicular line on AB.
< B = 60°
BC = 2 units.
We need to find the value of side CD.
In triangle BCD, we can see that <CDB is a right triangle, because CD is a perpendicular line on AB.
And <CBD = 60° that is given.
Therefore, < BCD = 30 degrees angle.
In order to find the value of CD, we can apply 30°-60°-90° right triangle rule to find the value of CD.
According to 30°-60°-90° right triangle rule adjacent side of 60° angle is half of Hypotenuse.
Therefore, BD = Half of BC = 2/2 = 1 unit.
And according to 30°-60°-90° right triangle rule opposite side is \sqrt{3}
3 times of adjacent side of 60° angle.
Therefore, CD = BD × \sqrt{3} 3 = 1×\sqrt{3} 3
Therefore, CD =\sqrt{3} 3
.