Find the distance from point A with coordinates (3; -4) to the origin.

Let’s draw the coordinate axis and designate the point A (3; – 4);

We need to find the distance AO. From the picture we see that we have got a right-angled triangle AOB with sides OB = 3; AB = 4; hence, according to the formula, the third side in a right-angled triangle is: AO ^ 2 = AB ^ 2 + OB ^ 2. Using this formula, we will find the required distance from point A to the origin of the coordinate system. Further solution look at the photo.

Answer: AO = 5.

One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.