4
AssignmentMultiple Choice

Converse to the Pythagorean Theorem

Question 4 • ELPGEQ1 M/J Grade 8 Pre-Algebra - 1205070 HCPS V24

Is the triangle a right triangle?

Answer
A
No, 92+402=412.
B
No,
C
Yes, 92+402=412.
D
Yes,

Explanation

Use the Pythagorean theorem: a triangle is right if the squares of its two shorter sides add to the square of its longest side. Here, 9² + 40² = 81 + 1,600 = 1,681, and 41² = 1,681. So the triangle is right, matching “Yes, 9² + 40² = 41².”

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