The midsegment of a triangle is 7.5 , what is the measure of the third side? a. 7.5 b. 3.75 c. 15 d. 10
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Did you know that in any triangle, the midsegment connects the midpoints of two sides and is parallel to the third side? It also has a special property: its length is always half the length of the third side! So if the midsegment is 7.5, just double that, and you’ll find the third side must be 15. That makes option c the answer—math is such a cool detective! When solving for the lengths of sides in triangles, a common pitfall involves forgetting to check if you're working with the right sides or angles. Just like a puzzle, you must piece it all together correctly! Always remember to carefully identify sides and their relationships; it can change everything in your calculations. Keep practicing, and you'll become a triangle pro!