Find the value of each variable. Write answers in simplest radical form.
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Answer:
The value of n is 6.
Step-by-step 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