Respuesta :

[tex]x = \sqrt{ {36}^{2} + {15}^{2} } = 39[/tex]

Answer:

Value of x is 39.

Step-by-step explanation:

In the given figure, we are given a right angled triangle with one side of 15 units, other is of 36 units. We have to find the third side of the triangle.

By Pythagoras theorem:

The square of side opposite to the right angle of the triangle is equal to sums of square of other two sides. It can be written as:

[tex](Hypotenuse)^2 = (Side1)^2 + (Side2)^2[/tex]

[tex]Hypotenuse = \sqrt{(Side1)^2 + (Side2)^2}[/tex]

Now, applying the Pythagoras theorem to the given right angled triangle we have,

[tex]x^2 = (15)^2 + (36)^2\\x = \sqrt{1521} }\\x = 39[/tex]

Hence, value of x is 39.