Section 7.3 ~ Similar Right Triangles

Section 7.3 ~ Similar Right Triangles
Topic in this lesson:
• similar right triangles
Objective: Set up proportions using similar
triangles to find missing side lengths.
Theorem 7.5 ~ Similar Right Triangles Theorem
If the altitude is drawn to the hypotenuse of a right triangle, then the two triangles formed are similar to the original triangle and to each other.
ΔACB ~ ΔADC ~ ΔCDB
Example 1
Identify the similar triangles in the diagram and write a similarity statement.
Example 2
Find the value of x.
a) b)
Example 3
Find the value of y.