Çözüldü Pyhthagoras Theorem - Quadratic Equation or Factoring - Trigonometry - Triangle Area

https://i.ibb.co/Sw4JNfVm/triangle.png
(Both boxes are squares.)

|AB| = |BD| = x units
17^2 = x^2 + (7 + x)^2 ⇒ x^2 + 7x - 120 = 0 ⇒ (x - 8)(x + 15) = 0 ⇒ x = 8 units
sin(∡BAC) = (7 + 8) / 17 = 15 / 17
Area(ΔABC) = (1 / 2)·8·17·(15 / 17) = 4·15 = 60 unit^2.

Another solution: https: // www . youtube . com / watch?v=EzqobG9SyXU