Respuesta :

Answer:

Step-by-step explanation:

7 units long

Step-by-step explanation:

We are given a right triangle ABC

AB = 25 units

BC = 24 units

We are required to determine the length of AC

We are going to use the Pythagoras theorem;

According to the theorem, if a and b are the legs of a right triangle and c is the hypotenuse, then;

a² + b² = c²

In this case;

AB is the hypotenuse and BC is one of the legs of the triangle;

Therefore;

AB² = BC²+AC²

Rearranging the formula;

AC² = AB² - BC²

      = 25² - 24²

      = 625 - 576

      = 49

AC = √49

Thus, AC is 7 units long

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