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Triangle

Triangle angle puzzle

January 21, 2013 by puzzler 3 Comments

 

triangle puzzle

triangle puzzle

What is the missing number in above picture?

See AnswerHide Answer

Answer with Explanation

Answer is 30.
How?
ignore 225, it is to confuse, here we will use the triangles property that the sum of all the angles inside a triangle should be 180 degree.

so 75 + 75 + ? = 180
=> ? = 180 – 150
=> ? = 30

Checkout more Picture Puzzles Tags: Easy, Puzzle, Solved Puzzles, Triangle

How many triangles #8

January 20, 2013 by puzzler Leave a Comment

1.) How many triangles do you see this picture ?

how many triangles do you see

how many triangles do you see

Answer with solution

How?
Let’s say the smallest triangle side is 1 cms, then
Number of triangles with side 1cms: 12(3+4+3+2 upward facing) + 12(downward facing)
Number of triangles with side 2cms: 6(3+2+1 upward facing) + 6(downward facing)
Number of triangles with side 3cms: 1(upward facing) + 1(downward facing)

Thus, the total number of triangles in above puzzle are 38.

Checkout more Picture Puzzles Tags: Easy, How Many, Puzzle, Solved Puzzles, Triangle

How many triangles #9

January 20, 2013 by puzzler 2 Comments

1.) How many triangles do you see this picture ?

how many triangles in this triangle

how many triangles in this triangle

Answer with solution

How?
Let’s say the smallest triangle side is 1 cms, then
Number of triangles with side 1cms: 10(1+2+3+4 upward facing) + 6(0+1+2+3 downward facing)
Number of triangles with side 2cms: 6(1+2+3 upward facing) + 1(downward facing)
Number of triangles with side 3cms: 3(upward facing)
Number of triangles with side 4cms: 1(upward facing)

Thus, the total number of triangles in above puzzle are 27.

Checkout more Picture Puzzles Tags: Easy, How Many, Puzzle, Solved Puzzles, Triangle

How many triangles #5

January 17, 2013 by puzzler Leave a Comment

1.) How many triangles are there in this triangle ?

how many triangles in this triangle

how many triangles in this triangle

See AnswerHide Answer

Answer: There are a total of 47 triangles

How?
Lets count…
By looking at it, first impression is … its very simple, But mind you! its not that easy !!!
So lets stick to the divide and conquer approach, we will divide this triangle into 3 equal triangles(triangle formed by connecting outer side to the center of the circle) and will count the number of triangles in each part and then by taking two or more parts together.

Number of triangles in one part: 4(non overlapping) + 3(overlapping) = 7 * 3 = 21
Number of triangles by taking two parts together: 8 = 8 * 3 = 24
Number of triangles by taking all three parts together: 2

Thus, total number of triangles in this puzzle are : 21+24+2= 47

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