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Wewaii [24]
3 years ago
7

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?

Mathematics
1 answer:
stiv31 [10]3 years ago
3 0
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.
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