1 View

Question : Which of the following ratios can be the ratio of the sides of a right-angled triangle?

Option 1: 9 : 6 : 3

Option 2: 13 : 12 : 5

Option 3: 7 : 6 : 5

Option 4: 5 : 3 : 2


Team Careers360 25th Jan, 2024
Answer (1)
Team Careers360 26th Jan, 2024

Correct Answer: 13 : 12 : 5


Solution : By Pythagoras theorem,
In a right-angled triangle, the sum of squares of the length of smaller sides = square of the length of the largest side.
By trial and error,
9 2 $\neq$6 2 + 3 2
7 2 $\neq$6 2 + 5 2
5 2 $\neq$3 2 + 2 2
12 2 + 5 2 = 144 + 25 = 169 = 13 2
So, 13 : 12 : 5 is the ratio of the sides of a right-angled triangle.
Hence, the correct answer is 13 : 12 : 5.

SSC CGL Complete Guide

Candidates can download this ebook to know all about SSC CGL.

Download EBook

Know More About

Related Questions

TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
GRE ® Registrations 2024
Apply
Apply for GRE® Test now & save 10% with ApplyShop Gift Card | World's most used Admission Test for Graduate & Professional Schools
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books