Similar Right Triangles within Right Triangles
OPTIONAL EXTRA CREDIT NOTES
If an altitude (perpendicular line) is drawn from a right angle to the hypotenuse, it makes three similar triangles.
If an altitude (perpendicular line) is drawn from a right angle to the hypotenuse, it makes three similar triangles.
If an altitude (perpendicular line) is drawn from a right angle to the hypotenuse, it makes three similar triangles.
If an altitude (perpendicular line) is drawn from a right angle to the hypotenuse, it makes three similar triangles.
Match the numbers to label new triangles.
64
36x
x
36
64
This triangle in not helpful, so we won’t use it.
36
100
x
x
64+ 36 = 100
Solve for x using proportions:
100 x . =x 36
The inverse of a square is a square-root.
36
100
x
x
100 x . =x 36
x2 = 3600
x2 = 3600
x = 60
![HPC 4.3 Right Triangle Trig...[BC 6 b/c of similar triangles; AB 6NG; Ratio: [Conjecture: the sides of similar triangles are in same ratio] * *Summarize: This is the basis for right](https://cdn.vdocuments.mx/doc/165x107/602f5a19bde38b37771f1016/hpc-43-right-triangle-trig-bc-6-bc-of-similar-triangles-ab-6ng-ratio-conjecture.jpg)
