Similar Right Triangles within Right Triangles

1. Similar Right Triangles within Right Triangles OPTIONAL EXTRA CREDIT NOTES

2. If an altitude (perpendicular line) is drawn from a right angle to the hypotenuse, it makes three similar triangles.

3. If an altitude (perpendicular line) is drawn from a right angle to the hypotenuse, it makes three similar triangles.

4. If an altitude (perpendicular line) is drawn from a right angle to the hypotenuse, it makes three similar triangles.

5. If an altitude (perpendicular line) is drawn from a right angle to the hypotenuse, it makes three similar triangles.

6. Match the numbers to label new triangles. This triangle in not helpful, so we won’t use it. 64 64 x 36 x 36

7. Solve for x using proportions: x . 100 = 64+ 36 = 100 x 36 100 x x 36

8. The inverse of a square is a square-root. x . 100 x2 = 3600 = x 36 x2 = 3600 100 x= 60 x x 36