Precalculus
posted by Jamilla .
Find the lengths of the diagonals of a parallelogram with adjacent sides of 12cm and 13 cm if the angle between the sides is 50 degrees.
The shorter diagonal is what in terms of cm?
The longer diagonal is what in terms of cm?

Use cosine law
(shortone)^2 = 12^2 + 13^2  2(12)(13)cos50°
etc
for the longone, replace the end part with cos130°
Respond to this Question
Similar Questions

geometry theorems
I have six questions which will be on a test two weeks from now, and I do not understand. Help me find out these theorems for the blanks. 1. If one pair of consecutive sides of a parallelogram are congruent, then the parallelogram … 
trig
The lengths of 2 adjacent sides of a parallelogram are 42 cm and 36cm. an angle of the parallelogram is 4o degrees. Find the measure of the longest diagonal to the nearest tenth of a centimeter. 
Trig
The diagonals of a parallelogram intersect at a 42◦ angle and have lengths of 12 and 7 cm. Find the lengths of the sides of the parallelogram. (Hint: The diagonals bisect each other.) 
trig
A kite is in the shape of a quadrilateral with two pair of congruent adjacent sides. The lengths of two sides are 20.0 inches and the lengths of the other two sides are 35.0 inches. The two shorter sides meet at an angke of 115 degrees. … 
geometry
The longer diagonal of a parallelogram measures 62 cm and makes an angle of 30 degrees with the base. Find the area of the parallelogram if the diagonals intersect at angle of 70 degrees. 
Math
If A=<2,1> and B=<1,1>, find the magnitude and direction angle for 2A +3B Find all specified roots: Cube roots of 8i A parallelogram has sides of length 32.7cm and 20.2cm. If the longer diagonal has a length of 35.1cm, … 
PreCalculus
A parallelogram has adjacent sides 7 cm and 15 cm. If the shorter diagonal is 10 cm long, find the length of the longer diagonal. 
math
the adjacent sides of parallelogram are 15 cm and 8cm. if the distance between the longer sides is 4 cm ,find the distance between the shorter sides. 
Geometry
A parallelogram has sides measuring 7 and 9. Its shorter diagonal has a length of 8. Find the measure of the longer diagonal. 
Trigonometry
The lengths of the diagonals of a parallelogram are 20 inches and 30 inches. The diagonals intersect at an an angle 35 degrees. Find the lengths of the parallelogram's sides lengths to the nearest hundredth.