【Haichuan Teahouse】Brain-teasing Series: The Inscribed Circle of a Right Triangle
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As shown in right triangle ABC, there is an inscribed circle. The lengths of the two right angles are 3 and 4 respectively. What is the area of the inscribed circle in this triangle?
Waftmaple posted on 2022-5-9 19:01. Thank you for sharing; I look forward to more updates. I’m very interested in knowing which of these products have been made domestically and which ones are still dependent on imports. The series is being updated continuously, so feel free to follow it. There’s a summary post here that covers all the updates from these months. Your participation is the greatest support for this forum. Click on the blue link to access it: 【Guess the Haichuan Equipment】 series – ongoing updates in 2022. All forum members are welcome to participate actively! https://bbs.hcbbs.com/thread-2079686-1-1.html (Source: Huahai Chuanliu – Haichuan Chemical Industry Forum) Summary post on the series 【Major Equipment in the Chemical Equipment Industry】 https://bbs.hcbbs.com/thread-3312079-1-1.html (Source: Huahai Chuanliu – Haichuan Chemical Industry Forum) Summary post discussing the components of cracking furnace equipment for 【Ethylene Cracking】 https://bbs.hcbbs.com/thread-3308724-1-1.html (Source: Huahai Chuanliu – Haichuan Chemical Industry Forum)
【Haichuan Teahouse】Brain-teasing series: Cutting out a semi-circle inside a triangle https://bbs.hcbbs.com/thread-3340908-1-1.html (Source: Huahai Chuanliu – Haichuan Chemical Industry Forum Website)
This post was last edited by Yang Qing on 2022-6-2 09:58. It can be proven using geometric methods that the radius r of the inscribed circle in a right triangle is equal to (a + b – c)/2. However, the 3-4-5 triangle case seems quite special. If it’s not this kind of triangle, it will look like this when drawn: