Answer:
16 inches
Step-by-step explanation:
We are given that the diagonal of a parallelogram is 10 inches long and makes angles of 25° and 43° with the sides.
So the angles of the parallelogram are:
α = 25° + 43° = 68°
β = 180° - 68° = 112°
Using the sine law assuming x to be the longest side of the parallelogram:
[tex]\frac{x}{sin43} =\frac{10}{sin 25}[/tex]
[tex] x = 1 6 . 1 4 [/tex]
Therefore, the longest side is 16 inches.
