Respuesta :

Answer:

The value of x:

  • [tex]x\:\approx \:8[/tex] in

Step-by-step explanation:

Given

[tex]b=4.8[/tex] in

[tex]c=9.3[/tex] in

a = x

we have to determine 'x'.

As the given triangle is a right-angled triangle.

Pythagorean Theorem:

For a right-angled triangle, with sides 'a' and 'b', the hypotenuse 'c' is defined as

[tex]c=\sqrt{a^2+b^2}[/tex]

so

[tex]a=\sqrt{c^2-b^2}[/tex]

as

  • [tex]b=4.8[/tex] in
  • [tex]c=9.3[/tex] in
  • a = x

substituting the values

[tex]x=\sqrt{9.3^2-4.8^2}[/tex]

[tex]x\:\approx \:8[/tex] in

Thus, the value of x:

  • [tex]x\:\approx \:8[/tex] in