6 Views

Question : x, y, and z are the sides of a triangle. If z is the largest side and x2 + y2 > z2, then the triangle is a:

Option 1: Isosceles right angled triangle

Option 2: Acute angled triangle

Option 3: Obtuse angled triangle

Option 4: Right angled triangle


Team Careers360 14th Jan, 2024
Answer (1)
Team Careers360 17th Jan, 2024

Correct Answer: Acute angled triangle


Solution : Given: That x, y, and z are the sides of a triangle. If z is the largest side and x 2 + y 2 > z 2 ​​​​​​.
If a triangle's sides are x, y, and z, where side z is the largest side. Then,
The triangle is a right-angled triangle if x 2 + y 2 = z 2 .
The triangle is an acute-angled triangle if x 2 + y 2 > z 2 .
The triangle is an obtuse angled triangle if x 2 + y 2 < z 2 .
In this case, the triangle's sides are x, y, and z, with z being the largest side.
The given condition is x 2 + y 2 > z 2 .
The above situation satisfies the acute angle triangle criterion. So, the triangle is an acute-angled triangle.
Hence, the correct answer is an acute-angled triangle.

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
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