Respuesta :

Answer:

The Length of third side is 52 units.

Step-by-step explanation:

Given:

Length of First side = 48

Length of second side = 20

Also given the angle between them is 90°.

Hence we can say figure shown is a right angled triangle.

For finding the third side we can use Pythagoras theorem which states that;

"If a triangle is right angled then, the Square of the hypotenuse is equal to sum of the square of the other two sides."

[tex]Third \ side ^2=First \ side^2+Second \ side^2[/tex]

Hence substituting the values we get;

[tex]Third\ side^2= 48^2+20^2 = 2304+400 =2704[/tex]

Now taking Square root on both side we get;

[tex]\sqrt{Third \ side^2} = \sqrt{2704}\\ Third \ side = 52 \ units[/tex]

Hence Length of Third side is 52 units.