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Two sides of a right triangle are 12 and 13. Which of the f
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10 Jan 2019, 06:44
10 Jan 2019, 06:44
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Question Stats:
66% (00:49) correct
33% (00:34) wrong based on 15 sessions
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Two sides of a right triangle are 12 and 13. Which of the following could be the length of the third side?
A)2
B)5
C)\(\sqrt{31}\)
D)11
E)\(\sqrt{313}\)
A)2
B)5
C)\(\sqrt{31}\)
D)11
E)\(\sqrt{313}\)
Re: Two sides of a right triangle are 12 and 13. Which of the f
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11 Jan 2019, 03:14
11 Jan 2019, 03:14
Expert Reply
amorphous wrote:
Two sides of a right triangle are 12 and 13. Which of the following could be the length of the third side?
A)2
B)5
C)\(\sqrt{31}\)
D)11
E)\(\sqrt{313}\)
A)2
B)5
C)\(\sqrt{31}\)
D)11
E)\(\sqrt{313}\)
Let the third side be x
Since it is a right triangle, it is possible that 13 is the hypotenuse or a side..
1) 13 is hypotenuse..
\(12^2+x^2=13^2....x^2=13^2-12^2=(13-12)(13+12)=1*25=25...x=5\)
2) 13 is a side..
\(x^2=12^2+13^2=144+169=313....x=\sqrt{313}\)
Thus B and E
gmatclubot
Re: Two sides of a right triangle are 12 and 13. Which of the f [#permalink]
11 Jan 2019, 03:14
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