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Find the value of each variable. Write answers in simplest radical form.

Find the value of each variable. Write answers in simplest radical form.-example-1

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8 votes

Answer:

The value of n is 6.

Explanation:

Given that these 2 triangles form a square so we can assume that all sides are same. Then, we have to apply Pythagoras Theorem, a² + b² = c², where a, b are sides and c is hypotenuse :

n² + n² = (6√2)²

2n² = 6² × (√2)²

2n² = 72

n² = 72 ÷ 2

n² = 36

n = √36

n = 6

Find the value of each variable. Write answers in simplest radical form.-example-1
User Omuthu
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