In x-y plane, there is a right triangle ABC (∠B=90o). If t

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Max@Math Revolution: Elite Legendary Member; Posts: 3991; Joined: Fri Jul 24, 2015 2:28 amFollowed by: 37 members; Location: Las Vegas, USA; Thanked: 19 times

by Max@Math Revolution » Mon May 02, 2016 10:37 pm

In x-y plane, there is a right triangle ABC (∠B=90o). If the length of AC is 50 and the slope of line segment AC is 4/3, what is the length of AB?
A. 12
B. 18
C. 24
D. 28
E. 40

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Source: Beat The GMAT — Problem Solving | Mon May 02, 2016 10:37 pm

Max@Math Revolution: Elite Legendary Member; Posts: 3991; Joined: Fri Jul 24, 2015 2:28 amFollowed by: 37 members; Location: Las Vegas, USA; Thanked: 19 times

by Max@Math Revolution » Fri May 13, 2016 4:00 am

According the Pythagoras theorem, we get a^2+b^2=c^2. Normally, many problems involve 3^2+4^2=5^2. Hence, we can apply the rule to this question and get 30^2+40^2=50^2. Hence, the answer is 40 and the correct answer choice is E.

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