158k views
3 votes
If a triangle with angle AB 2x, BC 4x-10, and AC 3x-7, What is the lenght of line segment AC?

User HuBeZa
by
3.5k points

1 Answer

6 votes

Answer:

Explanation:

7 units long

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

HOPE THIS HELPS :)

User Alxbl
by
3.7k points