Question

In the triangle shown, XZ = 16 and YZ = 12. Find XY.

Answer 1

The value of XY is 20.

Explanation:

Given:

XZ = 16

YZ = 12

Since the triangle is not shown:

Assuming it is a right angled triangle with right angle at ∠Z.

We have drawn the triangle for your reference.

Now by Using Pythagoras theorem we get;

`XZ^2+YZ^2=XY^2`

Substituting the values we get;

`XY^2 = 16^2+12^2 = 256+144 =400`

Now taking square root on both side we get;

`√(XY)=√(400)\\\\XY =20`

Hence The value of XY is 20.