A parallelogram has sides of lengths 9 and 6, and one angle is 45°. Find the lengths of the diagonals. (Round your answers to two decimal places. Enter your answers as a comma-separated list.)

Answer 1

Since this is a parallelogram; there's 2x angles then 2y angles.

I divided this piece into 2 triangles and a rectangle.

So angle α=45

β=45

γ=90

side c =6

a/sinα=b/sinβ=c (Sin rt<=1).

a/(sin45)=6

a/.7071=6

a=4.24264..........=b

Answer 2

Use Law of Cosines

d₁² = 9² + 6² - (2)(9)(6) cos 45°

d₂² = 9² + 6² - (2)(9)(6) cos 135°