The set of numbers that can represent the side lengths, in centimeters, of a right triangle is 10, 24, 26
Pythagoras theorem States that the hypotenus ² is equal to the sum of opposite ² and adjacent ²
Given:
8, 12, 15
15² = 8² + 12²
225 = 64 + 144
225 = 208
Not equivalent
10, 24, 26
26² = 10² + 24²
676 = 100 + 576
676 =676
Equivalent
12, 20, 25
25² = 12² + 20²
625 = 144 + 400
625 = 544
Not equivalent
15, 18, 20
20² = 15² + 18²
400 = 225 + 324
400 = 549
Not equivalent
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