28-06-2017
Mathematics

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Find the longer diagonal of a parallelogram having sides of 10 and 15 and an angle measure of 60°.

Find the longer diagonal of a parallelogram having sides of 10 and 15 and an angle measure of 60 class=

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28-06-2017

Angle alfa = A = 60°
Angle beta = B = 360° - 2A = 240°
Diagonal = d
sides of parallelogram are a and b

d² = a² + b² - 2ab × cosB

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