Find the length of side x in simplest radical form with a rational denominator.

Hardik Thaker asked Nov 22, 2023

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16 votes

Hardik Thaker asked Nov 22, 2023

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11 votes

Answer:

x = 2
√(6)

Explanation:

Using Pythagoras' identity in the right triangle

x² = (
√(12) )² + (
√(12) )² [ the 2 legs are congruent ]

x² = 12 + 12 = 24 ( take square root of both sides )

x =
√(24) =
√(4(6)) =
√(4) ×
√(6) = 2
√(6)

Zach Tuttle answered Nov 26, 2023

2.8k points

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