SOLUTION: ABCD is a rhombus of side 15cm. The diagonal AC is of length 20cm. Find the angle between AC and the side CD.

Question 990594: ABCD is a rhombus of side 15cm. The diagonal AC is of length 20cm. Find the angle between AC and the side CD.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The diagonals are perpendicular to each other and bisect each other.
Therefore, the two legs of the right triangle are the sides of each diagonal and the side CD is the hypotenuse.
The angle is the adjacent side (10, half of the diagonal) divided by 15, the hypotenuse. That is the cosine, so cos of x=10/15
The arc cos of (10/15) is 48.2 degrees.

RELATED QUESTIONS
Diagonal AC of a rhombus ABCD is equal to one of its sides BC. Find the angles of the... (answered by solver91311)

Find the length of the diagonal AC of the square ABCD if each side of the square is... (answered by KMST)

In the figure below, ABCD is a square with diagonal AC. Find side CD if AC is equal to 6. (answered by mananth)

Parallelogram ABCD has diagonal AC equal in length to side AB. CD is produced to E so... (answered by venugopalramana)

The base of pyramid P is a rhombus ABCD with each side measuring 13 feet. The longer... (answered by ikleyn)

A rhombus ABCD has a perimeter of 32cm and a diagonal AC of length 8cm. Find the exact... (answered by greenestamps)

If the length of a side of a square ABCD is 5, find the length of AC (answered by seema230480)

A diagonal of a rhombus is 20cm long.if its one side is 26cm long,find the length of its... (answered by fractalier)

ABCD is a square. If the measure of diagonal AC=52 units, what is the lenght of a... (answered by Fombitz,amfagge92)