It appears you've uploaded an image of a mathematical problem. Let me extract and analyze the content for you.

Give me a moment!Upon analyzing the image, it appears to contain a geometry problem involving a triangle, along with some expressions and tasks. Here's the breakdown:

Problem Overview:

The triangle $ABC$ has a perpendicular $AH$ from vertex $A$ to side $BC$. Additionally, the problem provides some relations involving segment lengths, such as:

• $BH = 4 \, \text{cm}$
• $CH = 4 \, \text{cm}$
• It seems to involve proving some geometric relationships and calculating the area of triangle $EHC$.

The key parts of the problem seem to involve:

1. Proving $AB = BC$, likely involving congruence or properties of perpendiculars in triangles.
2. Calculating the area of triangle $EHC$ given some conditions.

Would you like me to assist with solving this problem step by step? Let me know if you'd like more specific help!