1. 13.1 – Solving Right Triangles
Day #1 Objective:
Use rules of special right triangles to find the lengths of missing sides.

2. Two Special Right Triangles
45°
right triangle
30°
60°
right triangle
In either of these two special right triangles, given one side you can find the remaining two sides.

3. Understand side lengths in relation to the angle measures.
Right Triangle
60° 2s s
Memorize this!
30°
Understand side lengths in relation to the angle measures.

4. Understand side lengths in relation to the angle measures.
Right Triangle
45° s
Memorize this!
45° s
Understand side lengths in relation to the angle measures.

5. Find the values of x and y.
60° x 2 y x 5
45° y
Helpful Hints:
Label all angles and locate the smallest side.
Find the value of the smallest side.
Find the value of remaining side(s) from the smallest slide.

6. Find the values of x and y.
Example 1:
Example 2: 8 x y
45°
60° 18 x y

7. Find the values of x and y.
Example 3:
Example 4: y x 14
45° x 5
60° y

8. Find the values of x and y.
Example 5:
Example 6: x 6 y
30° 9 x
45° y

9. Complete all 5 problems on the worksheet. Show your work!
Homework
Complete all 5 problems on the worksheet. Show your work!