Question

What is the value of y?

3(Square Root)3 units
6(Square Root)3 units
9(Square Root)3units
12(Square Root)3 units

Answer 1

The value of y=6√3 units.

Explanation:

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Answer 2

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

`(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=√(108)=6 √(3)`

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.