janel123 janel123
  • 08-06-2019
  • Mathematics
contestada

If the quadrilateral below is a rhombus, find the missing measures.
MK = 24, JL = 20, and mZMJL = 50°
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Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 08-06-2019

Answer:

  • corner angles are 80° (∠JKL) and 100° (∠MJK)
  • side lengths are 2√61

Step-by-step explanation:

The given length measures are the diagonals of the rhombus, so each side will be the hypotenuse of the triangle with legs half as long:

  √(12² +10²) = √244 = 2√61 ≈ 15.62 . . . . side length

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The given angle measure is half the measure at ∠J. The full measure of ∠J is 100°, so the measure of ∠K is 180° -100° = 80°

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