- #1
Leo Consoli
- 39
- 5
Homework Statement
The angle alfa has its vertex at a point O, from one of its sides the point M is taken from which the perpendicular to the other side is made with the point N. In the same way, from the other side point K is taken and from there the perpendicular to the other side is traced hiting point P. Being B the intersection point between the segments KP and MN and A the intersection point between the segments OB and NP, being OM=a and OP=b, find OA.
Homework Equations
Pythagoras, triangle similarity and basic knowledg about triangles.
The Attempt at a Solution
Making the drawing its easy to notice a few things.
All triangles are right triangles and are similar between themselves, I tried to apply trigonometric identities and the laws os sine and cossine but I couldn't figure out anything.