Difference between revisions of "2021 JMPSC Accuracy Problems/Problem 8"
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==Problem== | ==Problem== | ||
How many triangles are bounded by segments in the figure and contain the red triangle? (Do not include the red triangle in your total.) | How many triangles are bounded by segments in the figure and contain the red triangle? (Do not include the red triangle in your total.) | ||
| − | [[File:Sprint2 .png| | + | <center> |
| + | [[File:Sprint2 .png|300px]] | ||
| + | </center> | ||
| + | |||
==Solution== | ==Solution== | ||
| − | + | We have <math>2</math> symmetrical triangles about the right side, <math>3</math> triangles containing <math>3</math> sides, <math>2</math> triangles in the middle, and <math>1</math> triangle containing the right-two sides. The answer is <math>\boxed{8}</math> | |
| + | |||
| + | ~Geometry285 | ||
| + | |||
| + | ==See also== | ||
| + | #[[2021 JMPSC Accuracy Problems|Other 2021 JMPSC Accuracy Problems]] | ||
| + | #[[2021 JMPSC Accuracy Answer Key|2021 JMPSC Accuracy Answer Key]] | ||
| + | #[[JMPSC Problems and Solutions|All JMPSC Problems and Solutions]] | ||
| + | {{JMPSC Notice}} | ||
Latest revision as of 17:23, 11 July 2021
Problem
How many triangles are bounded by segments in the figure and contain the red triangle? (Do not include the red triangle in your total.)
Solution
We have 
symmetrical triangles about the right side, 
triangles containing sides, triangles in the middle, and 
triangle containing the right-two sides. The answer is 
~Geometry285
See also
The problems on this page are copyrighted by the Junior Mathematicians' Problem Solving Competition. 
