Question

in right triangle ABC, angle C is a right angle, AB is 25 units long, and BC is 24 units long. What is the lenght of AC?

Answer 1

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