Problem of the Month
Find a Short Cut
Note: this puzzle is not of my own devising. It was passed on to me by a friend; I am posting it here with his permission.
At the top left, you see an isosceles right triangle; each leg is 10 centimeters long. Your task: cut this triangle into two pieces of the same area (but not necessarily of the same shape), using the shortest cut you can.
At the top right, you see one possible cut. The two pieces have the same area (and also the same shape, but that is not necessary). However, this is not the shortest possible cut.
Send your answers to this puzzle to me (Joseph DiMuro) at firstname.lastname@example.org by October 31, 2014.
“I would choose math at Biola is that math is taught as a part of God's creation and my love for math grows alongside my love for God.”
Applied Mathematics Major
“Being a math major has equipped me with deeper knowledge, understanding, and fascination of the subject. Due to this, I feel more excited, confident, and prepared to help future math students succeed in this subject.”
Secondary Teaching Mathematics Major
“I'm so glad I chose to study math at Biola - the faculty incredible and invested in their student’s lives, and I know they care about me in and out of the classroom. It's also been an invaluable opportunity to have consistent integration of my major and my faith and see how God can be glorified through math, which has been one of my favorite aspects of the department.”
Pure Mathematics Major
Why Choose Mathematics at Biola?
- Thorough in both educational quality and personal attention to students
- Faculty and students work together to make the study of mathematics a successful and enjoyable learning experience
- Involvement in the Putnam Exam; a nationwide contest for math students
- Experienced faculty who not only teach classes in which they are specialists, but work on research projects with individual students
- Small class sizes
- Readily accessible computing facilities