<|im_start|>system
You are a helpful assistant. You first think about the reasoning process in the mind and then provide the user with the answer. You should try to truely solve the question by yourself without cheating.  <|im_end|>
<|im_start|>user
 Find the area of a right-angled triangle if the altitude drawn from the right angle divides it into two triangles with the radii of the inscribed circles equal to 3 and 4. Show your work in <think> </think> tags. And return the final answer in <answer> </answer> tags.<|im_end|>
<|im_start|>assistant
Let me solve this step by step.
<think>
user
150
Find the area of a right-angled triangle if the altitude drawn from the right angle divides it into two triangles with the radii of the inscribed circles equal to 3 and 4.
test