![Trending Articles on Technical and Non Technical topics](/images/trending_categories.jpeg)
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
The length of the hypotenuse of an isosceles right-angled triangle is $ 20 . $ Find the perimeter and area of the triangle.
Given:
The length of the hypotenuse of an isosceles right-angled triangle is 20.
To do:
We have to find the perimeter and area of the triangle.
Solution:
Let the other two sides be $x$.
In the right-angled triangle, by Pythagoras theorem,
$x^2 + x^2 = 20^2$
$2x^2= 400$
$x^2 = 200$
$x=\sqrt{200}$
$x = 10\sqrt2$
Therefore,
Perimeter of the triangle $=3x$
$=3\times10\sqrt2$
$=30\sqrt2\ cm$
Area of the triangle $= \frac{1}{2} \times$ base $\times$ height
Area $= \frac{1}{2}\times10\sqrt2\times10\sqrt2$
$=100\ cm^2$
The perimeter of the triangle is $30\sqrt2\ cm$ and the area of the triangle is $100\ cm^2$.
Advertisements