Answer:
Last option/option d. which is 18in, 24in, 30in.
Explanation:
By virtue of the Pythagorean Theorem, in a right triangle the sum of the squares of the smaller two sides equals the square of the largest side.
(c equals the hypotenuse which is the longest length/opposite to the right angle. a equals the 'adjacent side' and b equals the 'opposite side' which are the two sides forming the right angle) Side lengths a, b, c form a right triangle only if they equal a² + b² = c².
Here are all the options and how we work them out:
1) 36 + 64 = 121 (6² + 8² = 11²) This is wrong because 36 + 64 = 100 not 121
2) 169 + 196 = 225 (13² + 14² = 15²) This is wrong since 169 + 196 = 365
3) 256 + 400 = 484 (16² + 20² = 22²) This is wrong since 256 + 400 = 656
4) 324 + 576 = 900 (18² + 24² = 30²) This is correct because 324 + 576 = 900 also meaning that the last option is correct! (option d.)