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larisa86 [58]
3 years ago
8

GJ is a midsegment of △HIK. If HI=s–59 and GJ=s–65, what is the value of s?

Mathematics
1 answer:
-BARSIC- [3]3 years ago
4 0

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 = \frac{1}{2} HI , so

s - 65 = \frac{1}{2} (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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