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Which group of three side lengths could be used to form a right triangle?

Which group of three side lengths could be used to form a right triangle?-example-1
User Monomo
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2 Answers

3 votes

Answer: D i believe

Step-by-step explanation: i believe it is D

User MildlySerious
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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.)

User Michael Pratt
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