christinal10 christinal10
  • 04-02-2022
  • Mathematics
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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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