so1963
so1963 so1963
  • 10-06-2021
  • Mathematics
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GJ is a midsegment of △HIK. If HI=s–59 and GJ=s–65, what is the value of s?

GJ is a midsegment of HIK If HIs59 and GJs65 what is the value of s class=

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jimrgrant1 jimrgrant1
  • 10-06-2021

Answer:

s = 71

Step-by-step explanation:

Given that GJ is a midsegment of the triangle then it is half the length of the third side, that is

GJ = [tex]\frac{1}{2}[/tex] HI , so

s - 65 = [tex]\frac{1}{2}[/tex] (s - 59) ← multiply both sides by 2 to clear the fraction

2s - 130 = s - 59 ( subtract s from both sides )

s - 130 = - 59 ( add 130 to both sides )

s = 71

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