Welcome to The Puzzler. Every week, there are 2 new puzzles related to my passion: math, logic, and thinking. The first puzzle will be The Puzzler Quik, meant for those who crave something fun-sized. The second puzzle will be The Puzzler Think, meant for those who love to ponder. The answers will be posted in next week’s column. Don’t forget to submit your answer for a potential shout-out in the next edition of the Puzzler.
Puzzler Quik
Find the area of a triangle with side lengths 8,15, and 17!
Puzzled?
The area of a triangle is its height times its base divided by 2.
Classify this triangle as acute, right, or obtuse.
Find the third side of a triangle with 2 sides equal to the square root of 2 and a 90 degree angle!
Puzzled?
Use the pythagorean theorem!
You don’t need a second hint!
ANSWERS TO LAST WEEK’S PUZZLERS
Last Week's Puzzler Quik
Albert from Illinois was the winner of this shout-out!
Let’s first find the prime factorization of 720 as mentioned in the video below.
$$720=2^4\cdot3^2\cdot5.$$ We now add one to the exponents to get 5 x 3 x 2. 720 has 30 factors!
Last Week's Puzzler Think
This week’s shout out goes to Maria from California! Kudos to her for solving the problem!
The keen observation that we have to make is that only perfect squares have a odd number of factors(why?). Counting the number of perfect squares from 1-1000, we get our answer of 31.
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