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

6-27.

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

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 .