Asked by Karl
A parallelogram has sides of lengths 7 and 4, and one angle is 55°. Find the lengths of the diagonals. (Round your answers to two decimal places. Enter your answers as a comma-separated list.)
Answers
Answered by
Steve
use the law of cosines. The short diagonal is
7^2+4^2-2*7*4cos55°
The longer diagonal lies opposite the supplementary angle, so it is
7^2+4^2+2*7*4cos55°
7^2+4^2-2*7*4cos55°
The longer diagonal lies opposite the supplementary angle, so it is
7^2+4^2+2*7*4cos55°
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