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Parallelogram ABCD has sides of lengths 44mm and 26mm, and one of the angles has a measure of 100 degrees. Approximate the length of diagona

Home/Math/Parallelogram ABCD has sides of lengths 44mm and 26mm, and one of the angles has a measure of 100 degrees. Approximate the length of diagona

Parallelogram ABCD has sides of lengths 44mm and 26mm, and one of the angles has a measure of 100 degrees. Approximate the length of diagona

Question

Parallelogram ABCD has sides of lengths 44mm and 26mm, and one of the angles has a measure of 100 degrees. Approximate the length of diagonal AC to the nearest mm

## Answers ( )

Answer:In steps

Step-by-step explanation:suppose ∠A = 100° Diagonal AC

AC² = 44² + 26² + 2 x 44 x 26 x cos 100° = 1936 + 676 – 398 = 2214

AC = 47 mm

another diagonal

BD² = 44² + 26² + 2 x 44 x 26 x cos 80° = 1936 + 676 + 398 = 3010

AC = 55 mm