Question

Which of these could be the lengths of side of a right triangle?
a. (5, 6, 11)
b. (5,7,12)
c. (5, 12, 13)
d. (6, 7, 13)​

Answer 1

Answer:

If a triangle is a right triangle, then the lengths of its sides satisfy the Pythagorean Theorem, a

2

+b

2

=c

2

. 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.

3

2

+13

2

=14

2

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.

5

2

+12

2

=13

2

25+144=169

169=169

Step-by-step explanation:

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