lev888
Elite Member
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- Jan 16, 2018
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Take the ratio of the corresponding parts and equate them. So we get:
6/9 = EF/DE
2/3 = EF/(3 - EF)
Cross multiplying, we get:
6 -2EF = 3EF
6 = 5EF
EF = 1.2
DE = 1.8
Using the pythagorean theorem, AE = Square root[36 + (1.2)^2]
= Sq. rt(37.44)
= 6.12 rounded
Similarly, EC = 9.18
Adding the two we get AC = 15.3
x^2 = 15.3^2 - 49
= 185.09
x = 13.60 cm
[math]AE = \sqrt(37.44)[/math][math]CE = \sqrt(84.24)[/math][math]AC = \sqrt(37.44) + \sqrt(84.24) [/math][math]AC^2 = 37.44 + 2*\sqrt(37.44*84.24) + 84.24 = 37.44 + 2*56.16 + 84.24 = 234[/math][math]AC = \sqrt(234)[/math]
Edited: replaced the first * with + in the 4th line.
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