Question

A parallelogram has a side length of 3 and the other side is 5. One angle equals 50 degrees. What are the lengths of the diagonals?

Answer 1

Lengths of diagonals (approx.): `7.3 and 3.8`

Explanation:

Based on the image below:

`h=3sin(50^circ)~~2.298133329`

`x=3cos(50^circ)~~1.928362829`

Long diagonal
`color(white)("XXX")d_L=sqrt(h^2+(5+x)^2)~~7.299563569`

Short diagonal
`color(white)("XXX")d_S=sqrt(h^2+(5-x)^2)~~3.836192345`