Respuesta :

In right angle ΔABC, if ∠C is the right angle, then the hypotenuse is AB.


Given that the hypotenuse is 10, therefore AB = 10


AB = 2CB

10 = 2CB

CB = 10 ÷ 2 = 5


Pythagoras' theorem: a² + b² = c²


5² + AC² = 10²

AC² = 10² - 5²

AC² = 75

AC = √75

AC = 5√3


Answer: AC = 5√3

The measure of the length side AC of the right triangle ABC will be 5√3 units.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Right triangle ABC with right angle C has a hypotenuse of length 10.

If AB = 2 CB

   10 = 2CB

  CB = 10 ÷ 2

  CB = 5

By the Pythagoras theorem, we have

  P² + B² = H²

5² + AC² = 10²

       AC² = 10² – 5²

       AC² = 75

        AC = √75

        AC = 5√3 units

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

#SPJ2