jaylynboyd12
contestada

What is the length of the hypotenuse of the triangle when x= 12?
6x+4
5x
The length of the hypotenuse is about
(Round to the nearest tenth as needed.)

Respuesta :

absor201

Answer:

The length of the hypotenuse: c = 96.8 units

Step-by-step explanation:

Given the sides

  • a = 6x+4
  • b = 5x
  • c = hypotenuse = ?

Given that the x = 12

so

  • a = 6x+4 = 6(12)+4 = 76
  • b = 5x = 5(12) = 60

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]

substituting a = 76 and b = 60

[tex]c=\sqrt{76^2+60^2}[/tex]

[tex]c=4\sqrt{586}[/tex]

[tex]c = 96.8[/tex] units

Therefore, the length of the hypotenuse: c = 96.8 units

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