Question

WILL FAN + MEDAL


A diagonal of a parallelogram is 20 inches long and makes angles of 17° and 49° with the sides. How long is the longest side?

Answer 1

You will need a picture. Diagonals are perpendicular.

Answer 2

6.4 in.
7.7 in.
16.5 in.
24.2 in.

Answer 3

those are the choices

Answer 4

You'll still need a picture. You can use the [Draw] button below. So far, the question isn't quite making sense.

Answer 5

It's 16.5 in.

Answer 6

you can use the fact that a triangle adds up to 180
17 + 49 + third_angle = 180

third_angle = 180 - 17-49

then you can use law of sines

Answer 7

$$
\Large {
\frac{x}{\sin 17^o}=\frac{20}{\sin 114^o}
\\~\\~\\
\frac{y}{\sin 49^o}=\frac{20}{\sin 114^o}


}
$$