A geometry problem by Jimmy Gao

Geometry Level 2

How many right angles are formed by lines in the picture?

Note: The question stated in the image is unclear. Please answer the above question instead.

96 106 100 86

Jimmy Gao by Jimmy Gao , 20, China

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3 solutions

Jimmy Gao
Feb 24, 2015

solution!!!

1 Helpful 0 Interesting 0 Brilliant 0 Confused

So ingenious i don't understand

Gabriel Seng - 6 years, 3 months ago

So we really have to count? HaHa

Chien Lin - 6 years, 3 months ago

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yeah i just count it,i made this problem when i am bored

Jimmy Gao - 6 years, 3 months ago
Thomas Siu
Mar 1, 2015

I wonder if there are general methods to these sorts of problems.

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Chien Lin
Feb 24, 2015

I don't know if there is a "real" mathematical solution for this. At least I used a way seems like cheating...

Since this image has 8 exactly same points, the total number of right triangles must be the multiple of 8. And since there is only one option that is a multiple of 8, the answer is 96.

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clever,i didn't even think that way

Jimmy Gao - 6 years, 3 months ago

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hey whats the solution...? i mean how do we reach the solution....

Arnav Das - 6 years, 3 months ago

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i made this ...shape, and just count the right angles from the outside to the inside

Jimmy Gao - 6 years, 3 months ago

oh ho highly ingenious....true common sense...

Arnav Das - 6 years, 3 months ago

Not really.. the center has 4 right angles..

Limanan Nursalim - 6 years, 3 months ago

You won't believe this I also did like you :D

Manish Mayank - 6 years, 3 months ago

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