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The three side lengths of four triangles are given. Which triangle is a right triangle?

Quizzma Team
The three side lengths of four triangles are given. Which triangle is a right triangle?

The three side lengths of four triangles are given. Which triangle is a right triangle?
O Triangle 1: √13, 6, 7
O Triangle 2: 7, 8, 13
O Triangle 3: 10, 11, 12
O Triangle 4: √10, 9, 8




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    1. Quizzma Team

      To determine which triangle is a right triangle, we can use the Pythagorean theorem. A triangle is a right triangle if the square of the longest side is equal to the sum of the squares of the other two sides.

      Let’s check each triangle:

      1. Triangle 1: √13, 6, 7

      Longest side = 7

      ( 7^2 = 49 )

      ( (√13)^2 + 6^2 = 13 + 36 = 49 )

      Yes, this is a right triangle.

      2. Triangle 2: 7, 8, 13

      Longest side = 13

      ( 13^2 = 169 )

      ( 7^2 + 8^2 = 49 + 64 = 113 )

      Not a right triangle.

      3. Triangle 3: 10, 11, 12

      Longest side = 12

      ( 12^2 = 144 )

      ( 10^2 + 11^2 = 100 + 121 = 221 )

      Not a right triangle.

      4. Triangle 4: √10, 9, 8

      Longest side = 9

      ( 9^2 = 81 )

      ( (√10)^2 + 8

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