66.0k views
2 votes
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?

1 Answer

1 vote
Angles of the parallelogram which is given in the problem are:α = 49° + 17 °= 66°

β = 180° - 66° = 114°

x - length of the longest side of the parallelogram;

Use the Sine Law:x / sin 49° = 20/ sin 17°

x / 0.7547 = 20 / 0.2924

0.2924 x = 15.094

x = 15.094 : .2924

x = 51.62 is the longest side of the parallelogram.
User Vitalets
by
7.8k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories