1. 8-1: Similarity in Right Triangles
Objective
Apply similarity relationships in right triangles to solve problems.

2. DRAW THE TRIANGLES SEPARATELY TO MATCH CORRESPONDING SIDES.

3. Once the triangles are separated, you can use Pythagorean Theorem or proportions to find the missing lengths.
Helpful Hint

4. Example 1: Calculate the value of x.

5. Example 2: Calculate the values of x, y, and z.

6. Example 3: Measurement Application
A surveyor positions himself so that his line of sight to the top of a cliff and his line of sight to the bottom form a right angle as shown.
What is the height of the cliff to the nearest foot?

7. Example 4: Area
The altitude to the hypotenuse of a right triangle divides the hypotenuse into 2 segments that are 12 cm long and 27cm long. What is the area of the triangle?

8. Pythagorean Theorem Proof #2
Turn in your workbook to page 325 for another proof of Pythagorean Theorem using triangle similarity!

9. 8-1 Assignments
Primary assignment: 8-1 Kuta worksheet
NO WORK = NO CREDIT
Due Thurs (per 1, 5, 7) and Fri (per 2, 4, 6)
Secondary Assignment: workbook pg #1,
Simplest radical form for #10 – 15
Hint for # 16: 1 mile = 5280ft