Answer:
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
= 7
Thus, AC is 7 units long
