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Home > GC > Chapter 6 > Lesson 6.1.3 > Problem 6-27

6-27.

Examine the triangles at right. Solve for . Redraw and label the diagrams as needed.  

Two triangles have the same internal angles. The triangle on the left has a side length of x + 5, opposite the angle with 3 tick marks and a side length of 10, opposite the angle with 1 tick mark. The triangle on the right has a side length of 5, opposite the angle with 3 tick marks and a side length of 4, opposite the angle with 1 tick mark.

Decide if the triangles are similar. Review the Math Notes boxes in Lessons 3.2.1 and 3.2.5 for help.

Decide which sides of the triangles correspond.

Write a proportion and solve for .