CGL 21 Tier 2 Maths


Question 1

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

x y तथा z एक त्रिभुज की भुजाएँ हैं। यदि z सबसे लंबी भुजा तथा x+ y> z2 हो, तो त्रिभुज एक _ है|


Options

A

Isosceles right angled triangle

Isosceles right angled triangle

B

Right-angled triangle

Right-angled triangle

C

Obtuse angled triangle 

Obtuse angled triangle 

D

Acute angled triangle

Acute angled triangle


Solution:

Correct Answer:

D

Acute angled triangle

न्यून कोण त्रिभुज 


We know that when 0° < θ < 90° then cosθ is +ve

We know from cosine rule that $$ cosα = \frac{x^2 + y^2 - z^2}{2xy}$$

It is given in the question that x+ y> z2 or x2 + y2 - z> 0 

In turn, it means that cosα > 0 so 0° < α < 90°

So if the biggest angle of the triangle is less than 90° then all other will also be less than 90°.

Now we can say that Triangle is an Acute angled triangle

हम जानते है की जब  0° < θ < 90° तब  cosθ +ve होता है 

हम  cosine rule से कह सकते है की $$ cosα = \frac{x^2 + y^2 - z^2}{2xy}$$

प्रशन के अनुसार  x+ y> z2 or x2 + y2 - z> 0 

जिसका मतलब cosα > 0 और   0° < α < 90°

अगर त्रिभुज का सबसे बड़ा कोण 90° से कम  है तो सभी कोण  90° से कम होंगे ।

अब हम कह सकते है की त्रिभुज न्यून कोण त्रिभुज  होगा ।

Types of Web Hosting

21-Apr-2023 06:03:43 | BLOG


types of web hosting


Read More

How to choose best web hosting

27-Sep-2022 09:46:18 | BLOG


best hosting


Read More

A2 Hosting Review

27-Sep-2022 09:45:14 | BLOG


a2 hosting


Read More

HostPapa Review

27-Sep-2022 09:44:24 | BLOG


hostpapa


Read More

Dreamhost Review

27-Sep-2022 09:43:44 | BLOG


dreamhost


Read More

Hostgator Review

27-Sep-2022 09:43:02 | BLOG


hostgator


Read More

Hostinger Review

27-Sep-2022 09:42:05 | BLOG


Hostinger


Read More

inMotion Hosting Review

27-Sep-2022 09:41:15 | BLOG


inmotion


Read More