Question

A diagonal of a parallelogram is 10 inches long and makes angles of 25° and 43° with the sides. How long is the longest side? PLEASE ANSWER FAST! NEED HELP ASAP

Answer 1

16 inches

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:

`(x)/(sin43) =(10)/(sin 25)`

`x = 1 6 . 1 4`

Therefore, the longest side is 16 inches.