Given a triangle with sides 6 cm 8 cm and 10 cm Find the length of the longest midline of the triangle.
| February 2, 2021 | education
The line that connects the midpoints of the two sides of the triangle is its midline. Each triangle has three middle lines. One of its properties suggests that such a line will be parallel to one of the sides of the triangle and have half its size.
Based on this, we find the length of each of the three middle lines of the triangle:
6: 2 = 3 cm, 8: 2 = 4 cm, 10: 2 = 5 cm.
Since 5 cm is greater than both 3 cm and 4 cm, we can conclude that the length of the longest midline of the triangle is 5 cm.
Answer: 5 cm.
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