Question

Which equation can be used to find the length of AC?

a) AC = AB + BC
b) AC = AB - BC
c) AC = (AB)² + (BC)²
d) AC = √(AB² + BC²)

Answer 1

The correct equation to find the length of AC is AC = √(AB² + BC²). It is derived from the Pythagorean theorem.

Step-by-step explanation:

The correct equation to find the length of AC is AC = √(AB² + BC²).

This equation is derived from the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (AC) is equal to the sum of the squares of the lengths of the other two sides (AB and BC).

By taking the square root of the sum of the squares of AB and BC, you can find the length of AC.