A triangle is a right triangle if it satisfies the Pythagorean theorem, which states that a² + b² = c², where c is the length of the hypotenuse (the side opposite the right angle).
Let's calculate the values of a² + b² for each triangle:
- For triangle D: 6² + 8² = 36 + 64 = 100
- For triangle E: 5² + 12² = 25 + 144 = 169
- For triangle F: 7² + 12² = 49 + 144 = 193
- For triangle G: 3² + 4² = 9 + 16 = 25
Based on the calculations above, the only triangle that satisfies the Pythagorean theorem and is a right triangle is triangle G. Therefore, the answer is A. triangle G.
The given triangles have side lengths of a, b, and c. Based on the values given in the table, which triangle is a right triangle? a b c triangle D triangle E triangle F triangle G A. triangle G B. triangle E C. triangle D D. triangle F
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