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Answer:- The value of y=6√3 units.
Explanation:-
Given: Δ TNM is a right triangle, where TN=y , NU=9 units ,UM=3 units, TM=6 units.
Now, we can see that NM=NU+UM
⇒NM=9 units + 3 units=12 units
As Δ TNM is a right triangle , then by Pythagoras theorem
Thus y=6√3units.
- Pythagoras theorem states that in a right triangle the square of the longest side is equal to the sum of the squares of the other two sides.