9
QuizMultiple Choice

Converse to the Pythagorean Theorem

Question 9 • ELPGEQ1 M/J Grade 8 Pre-Algebra - 1205070 HCPS V24

Which of these four sets of side lengths will form a right triangle?Set 110 cm, 26 cm, 24 cmSet 24 in., 2 in., 6 in.Set 314 mm, 13 mm, 15 mmSet 410 ft, 30 ft, 20 ft

Answer
A
Set 1
B
Set 2
C
Set 3
D
Set 4

Explanation

For a right triangle, the squares of the two shorter sides must add up to the square of the longest side. In Set 1, 10² + 24² = 100 + 576 = 676, and 26² = 676. So Set 1 forms a right triangle; the other sets do not satisfy this rule.

AI-written and checked against the verified answer.

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