Respuesta :

ANSWER

[tex]x = 13[/tex]

EXPLANATION

Use the Pythagoras Theorem to obtain,

[tex] {x}^{2} = {12}^{2} + {5}^{2} [/tex]

This implies that,

[tex] {x}^{2} = 144 + 25[/tex]

[tex] {x}^{2} = 169[/tex]

Take the positive square root of both sides to get,

[tex]x = \sqrt{169} [/tex]

[tex]x = 13[/tex]

Answer:

x = 3

Step-by-step explanation:

We have given the triangle.

We have to find the value of x when the two sides are given.

As it is right-angled triangle so, we use pythagreon formula we get,

x² =  12² + 5²

x² = 144 +25

x² = 169

Now taking square root on both sides.

x = √169

x= ±13

As it is length so we take only positive value.

x = 13