Only set (B) represents the side lengths of a right triangle.
In right triangle,
[tex](Hypotenuse)^{2} = (Perpendicular)^{2}+(Base)^{2}[/tex]
(A) [tex]8^{2} = 16[/tex]
[tex]12^{2} = 144[/tex]
[tex]15^{2} = 225[/tex]
225 ≠ 144 + 16
(B) [tex]10^{2} = 100[/tex]
[tex]24^{2} = 576[/tex]
[tex]26^{2} = 676[/tex]
676 = 576 + 100
(C) [tex]12^{2} = 144[/tex]
[tex]20^{2} = 400[/tex]
[tex]25^{2} = 625[/tex]
625 ≠ 400 + 144
(D) [tex]15^{2} = 225[/tex]
[tex]18^{2} = 324[/tex]
[tex]20^{2} = 400[/tex]
400 ≠ 324 + 225
Only (B) satisfies the condition.
Correct question,
Which set of numbers can represent the side lengths, in centimeters, of a right triangle?
(A) 8, 12, 15 (B) 10, 24, 26 (C) 12, 20, 25 (D) 15, 18, 20.
To learn more about triangle here:
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