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
The Absolute Best Book to challenge your Smart Student!
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.
Reza is an experienced Math instructor and a test-prep expert who has been tutoring students since 2008. He has helped many students raise their standardized test scores--and attend the colleges of their dreams. He works with students individually and in group settings, he tutors both live and online Math courses and the Math portion of standardized tests. He provides an individualized custom learning plan and the personalized attention that makes a difference in how students view math.
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