buckykatt323 buckykatt323
  • 11-12-2019
  • Mathematics
contestada

A parallelogram has side lengths of 40 and 75 units. One diagonal has a length of 70 units. Approximately how long is the other diagonal?

A parallelogram has side lengths of 40 and 75 units One diagonal has a length of 70 units Approximately how long is the other diagonal class=

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kenlingdad kenlingdad
  • 11-12-2019

Answer:

98 units

Step-by-step explanation:

Diagonal=√side1²+side2²−2⋅side1⋅side2⋅cos(corresponding angle - a)

70² = 40²+75²-2*40*75⋅cos(a)

cos(a) = (40²+75²-70²) / 2*40*75

cos(180°-a) = -cos(a)

Other diagonal² = 40²+75²-2*40*75* (-(40²+75²-70²) / 2*40*75)

Other diagonal = 97.72

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