Triangle LMN has its right angle at M. Which side is the hypotenuse?
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
Triangle has its right angle at .
- Which side is the hypotenuse?
- Which side is opposite angle , and which is adjacent to it?
- Which side is opposite angle ?
Need a reminder? The key ideaShow
In a right triangle the hypotenuse faces the right angle and is the longest side. From an acute angle, the opposite side faces it and the adjacent side touches it (and is not the hypotenuse). Pythagoras: .
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. (a) The hypotenuse faces , so it is .
Step 2. (b) The side facing is , so it is opposite. The side touching that is not the hypotenuse is , so it is adjacent.
Step 3. (c) The side facing is .
Answer: (a) ; (b) opposite , adjacent ; (c) .
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