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Given that the two triangles are similar, solve for x if AU = 20x + 108, UB = 273, BC = 703, UV = 444, AV = 372 and AC = 589
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Sep 26, 2018
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Given that the two triangles are similar, solve for x if AU = 20x + 108, UB = 273, BC = 703, UV = 444, AV = 372 and AC = 589
Mathematics
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Shaharia Azam
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The side AB = the side AU + the side UB = 20x + 108 + 273 = 20x + 381
The ratio of side AU to side AV = the ratio of side AB to side AC
=> AU / AV = AB / AC
=> (20x + 108 ) / 372 = (20x + 381) / 589
Now you can solve for x.
=> 589 * (20x + 108) = 372 * ( 20x + 381)
=> 11780x + 63612 = 7440x + 141732
=> 11780x - 7440x = 141732 - 63612
=>4340x = 78120
=> x = 78120 / 4340
=> x = 18.
Answer: x = 18
Mohit Pandey
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Oct 3, 2018
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Mohit Pandey
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