Question 1. Asked on :01 March 2019:03:26:35 PM
How to prove Pythagorus theorem .
-Added by Akki chauhan Mathematics » Maths
Answer:
ABC is a right angle triangle at B and BD is a perpendicular from B on to AC, the diagonal.
Triangles ABC and BDC are similar, as:
. angle DBC = 90 - angle C = angle A
. angle ABC = angle BDC = 90
Ratios of corresponding sides are equal.
AB / BD = BC / DC = AC / BC
So we get BC² = AC * DC --- (1)
Triangle ABC amd ADB are similar, as:
. angle DBA = 90 - (90 - C) = angle C
. angle ABC = 90 = angle ADB
so ratios of corresponding sides are equal
AB / AD = BC / BD = AC / AB
So we get AB² = AD * AC --- (2)
Add (1) and (2) to get:
AB² + BC² = AC * ( AD + DC) = AC * AC = AC²
So the theorem is proved.
-Answered by Himanshi Verma On 01 March 2019:03:38:26 PM
You can see here all the solutions of this question by various user for NCERT Solutions. We hope this try will help you in your study and performance.
This Solution may be usefull for your practice and CBSE Exams or All label exams of secondory examination. These solutions or answers are user based solution which may be or not may be by expert but you have to use this at your own understanding of your syllabus.
Our Expert Team reply with answer soon.
Ask Your Question
* Now You can earn points on every asked question and Answer by you. This points make you a valuable user on this forum. This facility is only available for registered user and educators.
Next moment you answer is ready .... go ahead ...
User Earned Point: Select
Sponsers link