Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

2021 JMPSC Accuracy Problems/Problem 8

Revision as of 16:20, 11 July 2021 by Mathdreams (talk | contribs)

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.)

Sprint2 .png

Solution

We have $2$ symmetrical triangles about the right side, $3$ triangles containing $3$ sides, $2$ triangles in the middle, and $1$ triangle containing the right-two sides. The answer is $\boxed{8}$

~Geometry285

See also

  1. Other 2021 JMPSC Sprint Problems
  2. 2021 JMPSC Sprint Answer Key
  3. All JMPSC Problems and Solutions

The problems on this page are copyrighted by the Junior Mathematicians' Problem Solving Competition. JMPSC.png

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=2021_JMPSC_Accuracy_Problems/Problem_8&oldid=158053"