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The prom committee is decorating the venue for prom and wants for prom and wants to hang lights above the diagonals of the rectangular room. If DH=44.5, EF=39, and m angle GHF=128 degrees, find GE

The prom committee is decorating the venue for prom and wants for prom and wants to hang lights above the diagonals of the rectangular room If DH445 EF39 and m class=

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akposevictor

Applying the definition of the diagonals of a rectangle, GE = 89 ft.

Diagonals of a Rectangle

  • A rectangle has 2 congruent diagonals, that is the two diagonals are equal to each other.
  • The diagonals of a rectangle bisects each other into equal segments.

The diagonals of the rectangular room are:

DF and GE

  • Thus:

DF = GE

DH = 1/2(DF)

  • Substitute

44.5 = 1/2(DF)

DF = 2(44.5)

DF = 89

  • Therefore:

DF = GE = 89

GE = 89 ft.

Thus, applying the definition of the diagonals of a rectangle, GE = 89 ft.

Learn more about diagonals of a rectangle on:

https://brainly.com/question/17117320

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