- Trending Categories
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
Verify by drawing a diagram if the median and altitude of an isosceles triangle can be same.
To do:
We have to verify whether the median and altitude of an isosceles triangle can be the same.
Solution:
Follow the steps:
Draw a $\triangle PQR$ with $PQ = PR$.
Let us draw a line segment $PS$ perpendicular to $QR$.
$PS$ is the altitude of the triangle.
It can be observed that the length of $QS$ and $SR$ is also the same by measurement.
Thus, $S$ is the midpoint of $QR$.
Therefore, $PS$ is also a median of this triangle.
Here, we observe that altitude $PS$ in an isosceles triangle $PQR$ is also its median.
Advertisements