- Data Structure
- Networking
- RDBMS
- Operating System
- Java
- MS Excel
- iOS
- HTML
- CSS
- Android
- Python
- C Programming
- C++
- C#
- MongoDB
- MySQL
- Javascript
- PHP
- Physics
- Chemistry
- Biology
- Mathematics
- English
- Economics
- Psychology
- Social Studies
- Fashion Studies
- Legal Studies
- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who
In the figure below...
"
Solution:
Given ABCD and PQRS are rectangles.
AC is diagonal and Q is the midpoint of AC.
So AQ = QC
(i)
AD || PQ In triangle ACD.
By Basic proportionality theorem
DP/PC = AQ/QC = 1/1
So DP = PC
(ii)
We know AQ = QC = 1/2 AC
In the rectangle PQRS, diagonals PR, and QC are equal in length and bisect each other.
So PR = QC = 1/2 AC or
PR = 1/2 AC
Advertisements