### Home > CCG > Chapter 7 > Lesson 7.3.1 > Problem 7-120

7-120.

Examine the diagram at right.

Are the triangles in this diagram similar? Justify your answer using similarity transformations.

Draw

and separately. Which angles are congruent? What is the relationship between

and? Betweenand? Betweenand?Compare

with. How are these lengths related? If the triangles are similar,

then this relationship will be true for the other pairs of corresponding sides.If

units andunits, what is?Add the lengths to your diagram from part (a). If

, what is?

Use the Pythagorean Theorem to calculate the unknown side length.