Respuesta :

Answer:

C = 7.2

Step-by-step explanation:

What's Pythagorean Theorem?

  • Pythagorean Theorem is a theorem in which it states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse. This can be represented as an equation of a² + b² = c².

To find the value of C, we're going to use Pythagorean Theorem! We're given the legs as 4 and 6.

Step 1: Simplify.

  • [tex]4^2+6^2=c^2[/tex]
  • [tex]16+36=c^2[/tex]
  • [tex]52=c^2[/tex]

Step 2: Take square root of both sides.

  • [tex]\sqrt{c^2}=\sqrt{52}[/tex]
  • C ≈ 7.2

Therefore, the value of C is 7.2.