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
[tex](Hypotenuse)^2=(Perpendicular)^2+(Base)^2\\\Rightarrow12^2=y^2+6^2\\\Rightarrow\ y^2=12^2-6^2\\\Rightarrow\ y^2=144-36=108\\\Rightarrow\ y=\sqrt{108}=6 \sqrt{3}[/tex]
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.
