The length of the hypotenuse is 8n.
What is the Pythagorean theorem?
The Pythagorean theorem, also known as Pythagoras theorem, is a fundamental relationship between the three sides of a right triangle in Euclidean geometry. It states that the area of the hypotenuse square is equal to the sum of the areas of the squares on the other two sides.
This problem is solved using the Pythagorean theorem (a² + b² = c²). In this formula, a and b are the legs of the right triangle while c is the hypotenuse.
a² + b² = c²
c = √a² + b²
PQ = √PO² + OQ²
PQ = √(4n)² + (4n)²
PQ = 8n
Hence, the length of the hypotenuse is 8n.
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