Two sides of a triangle have the same length. The third side measures 6 m less than twice the common length. The perimeter of the triangle is 22 m . What are the lengths of the
three sides?
What is the length of the two sides that have the same length? of 10 points
7 m ? 2.13
What is the length of the third side?
?

In this triangle, let’s denote the length of the two equal sides as . According to the problem, the third side is m long. The perimeter of the triangle is given as 22 m, leading to the equation . Solving this, we find that , simplifying to , and thus m. Hence, the two equal sides each measure 7 m, while the third side calculates to m.

Triangles have been intriguing for centuries, appearing in various cultures. The ancient Greeks, like Euclid, laid the groundwork for the properties of triangles. They also have practical applications in architecture and engineering, where triangle structures offer stability and strength. In this way, triangles aren’t just theoretical shapes; they’re fundamental in creating the world around us!