# Monthly Archives: November 2015

## Circles Overlap

Circle has center with radius , and circle has center with radius . The circles overlap in the first quadrant. What is the area of this overlap? Source: NCTM Mathematics Teacher, December 2005 SOLUTION is a square because triangle is … Continue reading

## Different Paths

We must travel from to along the lines shown. If we only allow movement upward or to the right, how many different paths are there from to ? Source: NCTM Mathematics Teacher, December 2005 SOLUTION If we fill in the … Continue reading

## Isosceles Triangle

In the figure, , and . Determine . Source: NCTM Mathematics Teacher, December 2005 SOLUTION By the external angle theorem Since triangles and are isosceles Substitute the values of and into Eq. By the external angle theorem Substitute the value … Continue reading