Christensen Ryan
02/25/2024 · High School

A triangle that has perimeter side proportions of __ when the three sides are divided by the same number is a perfect \( 90^{\circ} \) triangle. a. \( 1: 2: 3 \) b. \( 2: 3: 4 \) c. \( 3: 4: 5 \) d. \( 4: 5: 6 \)

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A triangle that has side proportions of \( 3: 4: 5 \) is a perfect \( 90^{\circ} \) triangle. This is known as a Pythagorean triple, where the sides satisfy the Pythagorean theorem \( a^2 + b^2 = c^2 \). Thus, the correct answer is: **c. \( 3: 4: 5 \)**.

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**c. \( 3: 4: 5 \)**
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