Respuesta :

Answer:

The length of the hypotenuse = 625 inches

Step-by-step explanation:

A right triangle has leg lengths of 7 inches and 24 inches.

Given

  • a = 7
  • b = 24

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]

  • [tex]a=7[/tex] inches
  • [tex]b=24[/tex] inches

so substituting the values

[tex]c=\sqrt{7^2+24^2}[/tex]

[tex]c=625[/tex] inches

Thus, the length of the hypotenuse = 625 inches