In ΔEFG, e = 8 inches, f = 8.8 inches and ∠G=90°. Find the length of g, to the nearest 10th of an inch.
2 answers:
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- HJ = 23.5 in
Take HJ = a, GH = b and GJ = c
- a = b + 2
- c = a + b - 17
- a + b + c = 73
put the value of a from equation 1 in equation 2
- c = (b + 2) + b − 17
- c = 2b − 15
now, put the value of a and c in equation 3
- b + 2 + b + 2b − 15 = 73
- 4b − 13 = 73
- 4b = 86
- b = 21.5 in
Now, we need to find HJ (a)
- a = b + 2
- a = 21.5 + 2
- a = 23.5 in
- HJ = 23.5 in