Edexcel IGCSE Maths 复习笔记 4.8.1 Pythagoras Theorem
Edexcel IGCSE Maths 复习笔记 4.8.1 Pythagoras Theorem
What is Pythagoras?
- Pythagoras was a Greek mathematician who lived over 2500 years ago
- He is most famous for Pythagoras’ Theorem, which includes the important formula for right-angled triangles
Pythagoras' theorem?
- The longest side in a right-angled triangle is called the hypotenuse – this will always be the side opposite the right angle
- If we label the hypotenuse c, and label the other two sides a and b:
then Pythagoras’ Theorem tells us that:
a2 + b2 = c2
(where a, b, and c are the lengths of the three sides)
Using Pythagoras’ theorem
- To find the length of the hypotenuse use:c = √a2 + b2
(Note that when finding the hypotenuse you add inside the square root)
- To find the length of one of the other sides use:
a = √c2 – b2 or b = √c2 – a2Note that when finding one of the other sides you subtract inside the square root
Exam Tip
‘Reality check’ your answers. If the hypotenuse ends up being shorter than another side in your answer, you’ve made a mistake somewhere!If your calculator gives you a ‘Math ERROR’ result, you probably subtracted the wrong way around in the square root.In questions with multiple steps, don’t round off (to 1 decimal place, 3 significant figures, etc) until the very end.
Worked Example
Worked Example
转载自savemyexam
以上就是关于【Edexcel IGCSE Maths 复习笔记 4.8.1 Pythagoras Theorem】的解答，如需了解学校/赛事/课程动态，可至翰林教育官网获取更多信息。
往期文章阅读推荐：
深耕九载！30+国际竞赛/课程讲义，硕博100%团队操刀，助力爬藤冲G5！
翰林AMC8视频课重磅上线！
国际竞赛真题资源免费领取
