# Monthly Archives: August 2011

## Ab Inequality

and are positive integers in the inequality . For how many different values of is there at least one value of that would make the inequality true? Source: mathcontest.olemiss.edu 2/5/2007 SOLUTION If , there exists such that If , there … Continue reading

## Yellow Star

The four circles in the figure below each have a radius of 5 units. The centers of each circle form a square. If you use 3.14 as the approximate ratio of a circle’s circumference to its diameter, what is the … Continue reading

## Two Isoceles Triangles

Two noncongruent triangles have the same area but different perimeters. Triangle A has sides lengths of 8, 8 and 6 cm. Triangle B has two sides with length of 8 cm. Find the length of the third side of Triangle … Continue reading

## ABC Triangle

The perimeter of right triangle is cm. The altitude drawn to the hypotenuse is cm. What are the lengths of all three sides of the triangle? Source: mathcontest.olemiss.edu 10/9/2006 SOLUTION 3     4     5 6     8     10     [3 – 4 – … Continue reading

## Roof Pitch

In construction, a roof with a 12 in 12 pitch means that the roof rises 12 feet vertically for every 12 feet of horizontal run. A 12 in 12 pitch roof forms a 45 degree base angle with the horizontal … Continue reading