christinal10 christinal10
  • 04-02-2022
  • Mathematics
contestada

What is the length of GF? LH is the mid set of the trapezoid

What is the length of GF LH is the mid set of the trapezoid class=

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SenorMathWiz
SenorMathWiz SenorMathWiz
  • 04-02-2022

Answer:

62

Step-by-step explanation:

The midsegment of a trapezoid is equal to half the sum of the bases.

The midsegment is HL while the bases are JK and GF

So HL = ( JK + GF ) / 2

JK = 12 and HL = 37

to find the length of GF we plug these values in and solve for GF

HL = ( JK + GF ) / 2

plug in JK = 12 and HL = 37

37 = ( 12 + GF ) / 2

multiply both sides by 2

74 = 12 + GF

subtract 12 from both sides

62 = GF

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