MathProblemsBank

5.2.4.26 Various problems on the plane

Given triangle CSJ. On the continuation of the side \( J C \) the point \( Q \) is chosen as the point \( J \). Some line passing through \(Q\) intersects the segment \(C S\) at the point \(Z\) and the segment \(J C\) at the point \(H\). What is the area of ​​the triangle \( Z J S \) if \( J S: J Q=3: 4 \), the area of ​​the triangle \( C H Q \) is 28, and the area of ​​the triangle \( C H Z \) is 10.5?

-> Various problems on the plane