Math Problem Statement

Ако AM = 6 см, AB = 12 см, MN = 4 см и MM|AB, дължината на отсечката AC е равна на:

Solution

This seems to be a geometry question in Bulgarian. Here's the translation of the problem:

Problem 3: Given that AM=6cmAM = 6 \, \text{cm}, AB=12cmAB = 12 \, \text{cm}, MN=4cmMN = 4 \, \text{cm}, and MMABMM | AB (which means that the segment MNMN is parallel to ABAB), what is the length of segment ACAC? The possible options for the length of ACAC are: a) 3 cm
b) 8 cm
c) 9 cm
d) 12 cm

The diagram shows a triangle ABCABC with points MM and NN.

To solve this, we'll likely need to use properties of similar triangles and the parallelism condition, as parallel segments in triangles imply proportionality.

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Math Problem Analysis

Mathematical Concepts

Geometry
Proportions
Similar Triangles
Parallel Lines

Formulas

Proportionality rule for similar triangles

Theorems

Thales' Theorem

Suitable Grade Level

Grades 8-10