SOLUTION: both sides of a parallelogram measure 8 cm and 10 cm between them and form an angles of 120 degrees. calculate the length of their diagonal

SOLUTION: both sides of a parallelogram measure 8 cm and 10 cm between them and form an angles of 120 degrees. calculate the length of their diagonal

Algebra.Com

Question 140150: both sides of a parallelogram measure 8 cm and 10 cm between them and form an angles of 120 degrees. calculate the length of their diagonal
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
let x=diagonal __ using the law of cosines __ x^2=8^2+10^2-(2*8*10*cos(120�))

x^2=64+100-(160(-1/2)) __ x^2=244 __ x=sqrt(244) __ x=2sqrt(61)
RELATED QUESTIONS
The sides of a parallelogram measure 10 cm and 18 cm. One angle of the parallelogram... (answered by Gogonati)

Two sides of parallelogram are 38 cm and 22 cm, and one of its angles is 35 degrees... (answered by Alan3354)

A parallelogram has sides of length 4 cm and 9 cm with an included angle of 40 degrees.... (answered by jim_thompson5910)

A parallelogram has sides 22cm and 10 cm, and one of its angles is 130 degrees. Find the... (answered by josgarithmetic)

A parallelogram has sides that are 10 cm and 20 cm long . The measure of the acute angles (answered by jim_thompson5910)

A diagonal of a parallelogram is 44.32 cm long and forms angles of 30 degrees and 33... (answered by Fombitz)

A triangle has sides of lengths 10 cm and 16 cm and the measure of the angle between them (answered by Alan3354,fractalier)

Help me figure this out, In a triangle, two sides that measure 6 cm and 10 cm form an... (answered by rothauserc)

1. A parallelogram has sides 15 cm and 25 cm and their includeded angle is 74 degrees a. (answered by CubeyThePenguin)