Which of the following can be the lengths of the sides of a triangle?
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Which of the following can be the lengths of the sides of a triangle?
(。◕‿◕。)➜
How to find :-
(。◕‿◕。)➜This is the solution ✅
If a triangle is a right triangle, then the lengths of its sides satisfy the Pythagorean Theorem, a²+b²=c² . To determine which choice is correct, test each set of values by substituting them into the Pythagorean Theorem. Start with the first set of numbers: 3, 13, and 14.
3² + 13² = 14²
9+169=196
178=196
Since the result is not a true equality, the first set of values does not represent the side lengths of a right triangle. Test the other four choices. The only values that satisfy the Pythagorean Theorem are 5, 12, and 13.
5²+12²=13²
25+144=169
169=169
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