Geometry Puzzle – Critical Thinking 16
This is a creative Puzzle to challenge the Brain! This is for 5th graders and older. A detailed solution is also provided
Challenge:
Two sides of a triangle measure 10 and 5. Which of the following could be the area of the triangle?
A- 50
B- 35
C- 25
D- 2
E- 0.1
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The correct answer is C , D and E.
We can find the maximum area of the triangle only when the given sides are placed at right angles. Why?
Let’s put 10 as the base and 5 as the height. Then, the area of the triangle is: \(\frac{10×5}{2}= 25\)
The angle less or more than 90 degrees between the sides reduce the area. (Draw it out for yourself). Hence, the area can be anything between 0 and 25.
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