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Given the length of three sides of a triangle, which is a right triangle? (1) 10,26,24 (2) 20,12,18 (3) 30,15,26 (4) 40,50,80
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Nov 17, 2016
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Given the length of three sides of a triangle, which is a right triangle?
(1) 10,26,24
(2) 20,12,18
(3) 30,15,26
(4) 40,50,80
Mathematics
high-school
Yorick De Wid
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A) you can figure this out by testing each with the Pythagorean Theorem
a^2 + b^2 =c^2 (c is the biggest side)
Patrizia
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Nov 18, 2016
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Patrizia
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The aides of a right triangle will always satisfy the Pythagorean relationship ...
a² + b²= c²
We can take each of these and try it out:
(1) ... 10² + 24² = 100 + 576 = 676
√676 =
26 Yes
.
(2) ... 12² + 18² = 144 + 324 = 468
√468 = 21.6, not 20.
No.
(3) ... 15² + 26² = 225 + 676 = 901
√901 = 30.017 Awfully close. As an engineer, I'll buy this one.
Yes.
(4) ... 40² + 50² = 1,600 + 2,500 = 4,100
√4,100 = 64.03, not 80.
No.
Madhurima Mishra
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Nov 21, 2016
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Madhurima Mishra
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