Find the value of x A (3x-1) B 2x C (137-x) in a triangle

Rhombus adef is inscribed into a triangle abc so that they share angle a and the vertex e lies on the side bc . what is the length of the side of the rhombus if ab=c, and ac=b.

The median am of triangle ∆abc is half the length of the side towards which it is drawn, bc . prove that triangle ∆abc is a right triangle, and find angle mac and abm

y=2x−1 5x−4y=1 is (1,1)(1,1) a solution of the system?