Question

Точка C - середина отрезка AB, точка O - середина отрезка AC. Найдите AO, если OB = 2,7

Answer 1

АО=1/4АВ, ОВ=3/4АВ=2,7; 2,7:3=0,9. АО=0,9

Answer 2

Given information:

- AB is a line segment. - Point O is the midpoint of line segment AC. - OB = 2.7.

To find:

We need to find the length of AO.

Approach:

To find the length of AO, we can use the concept of midpoints and the properties of line segments.

Solution:

Let's assume that the length of AB is x. Since point O is the midpoint of AC, the length of AO will be equal to the length of OC.

Since O is the midpoint of AC, we can say that AO = OC = AB/2.

Given that OB = 2.7, we can use this information to find the length of AB.

We know that OB = AB + AO. Substituting the values, we get:

2.7 = x + (x/2)

Simplifying the equation:

2.7 = (3x/2)

Multiplying both sides of the equation by 2/3:

(2/3) * 2.7 = x

x = 1.8

Now that we know the length of AB, we can find the length of AO:

AO = AB/2 = 1.8/2 = 0.9

Therefore, AO = 0.9.

Summary:

The length of AO is 0.9.