Question

What is the value of x?

Answer 1

`x = \sqrt{ {36}^(2) + {15}^(2) } = 39`

Answer 2

Value of x is 39.

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:

`(Hypotenuse)^2 = (Side1)^2 + (Side2)^2`

`Hypotenuse = √((Side1)^2 + (Side2)^2)`

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

`x^2 = (15)^2 + (36)^2\\x = √(1521) }\\x = 39`

Hence, value of x is 39.