Solving similar triangles 2

The  exercise appears under the Geometry Math Mission. This exercise practices using similarity and common ratios to find a missing side of a triangle in a common standardized diagram.

Types of Problems
There is one type of problem in this exercise:


 * 1) Find the labeled side: This problem provides a large triangle that has another triangle embedded inside it. Some information about the triangle is also provided. Students are asked to use the information provided to find the value of an missing measurement.Solsimtri2-1.png

Strategies
Knowledge of CASTC and CSSTP are encouraged to ensure success on this exercise.
 * 1) The CASTC property states that Corresponding Angles in Similar Triangles are Congruent.
 * 2) The CSSTP property states that Corresponding Sides in Similar Triangles are Proportional.
 * 3) The "ratio" between triangles can be viewed as an appropriate division followed by an appropriate multiplication.
 * 4) The diagram on this exercise is common and should be considered important.

Real-life Applications

 * 1) Triangle similarity is the foundation of trigonometry and it's multitude of applications in the sciences.
 * 2) The diagram in this exercise is common on standardized exams such as the SAT.