Question

Помогите! С подробным решением :Дано, решение, ответ. В треугольнике АBC O и P-середины сторон ВС и АС соответственно. Длина отрезка ОР равна 2,7 см. Найдите АВПлиз!!? ​

Answer 1

5,4 см. Ор средняя линия треугольника , равна 1/2 стороны паралллеьной ей

Answer 2

Problem Analysis

We are given a triangle ABC, where O and P are the midpoints of sides BC and AC respectively. The length of segment OR is given as 2.7 cm. We need to find the length of AB.

Solution

To find the length of AB, we can use the fact that O and P are the midpoints of sides BC and AC respectively. This means that the line segment OP is parallel to side AB and half its length.

Let's denote the length of AB as x. Since OP is parallel to AB and half its length, we can write the following proportion:

OP / AB = OR / BC

Substituting the given values, we have:

2.7 / x = 2.7 / BC

To find BC, we can use the fact that O is the midpoint of BC. This means that the length of BC is twice the length of OR.

BC = 2 * OR = 2 * 2.7 = 5.4 cm

Substituting this value into the proportion, we have:

2.7 / x = 2.7 / 5.4

Simplifying the equation, we get:

2.7 * 5.4 = 2.7 * x

14.58 = 2.7 * x

Dividing both sides by 2.7, we find:

x = 14.58 / 2.7

x ≈ 5.4 cm

Therefore, the length of AB is approximately 5.4 cm.

Answer

The length of AB is approximately 5.4 cm.