Geometry with Algebra

geometry, algebra, angles, liketerms

Some problems in Math involve two subjects.  For instance, there is a substantial amount of Geometry that involves some Algebra.  These problems can be attacked by combining our knolwedge of Algebra with our knowledge of Geometry.  While it is not an exhuastive, most questions involve angles and what we know about the relationships of angles in geometry and using them to figure out Algebra problems.  

Example:

On a triangle, the three angles of the triangle are 2x, 3x and 5x.  Solve for X and find the degree measure of each Angle.


To attack this Geometry Problem, one needs to first figure out the relationship of Angles in  a Triangle.

"In a Triangle, the sum of the interior angles of a triangle add up to 180degrees."

Knowing this fact, we know that 2x+3x+5x=180.  Then, we use our knowledge of algebra and get that 2x+3x+5x=10x since we can combine "Liketerms."  Now from here we say:

10x=180 and divide each side by 10 to learn that x=18.  That means that one angle is 36=2(18), another angle is 54=3(18) and the last Angle is 90=5(18).  

Most Geometry Problems have this general outline and can be solved in the same way

geometry, algebra, angles, liketerms