Q. 265.0( 2 Votes )

In a ∆ABC, if sin2 A + sin2 B = sin2 C, show that the triangle is right angled.

Answer :

Let a, b, c be the sides of any triangle ABC. Then by applying the sine rule, we get




So by considering the given condition, we get


sin2 A + sin2 B = sin2 C


Substituting the values from equation (i), we get





This is Pythagoras theorem; hence the given triangle ABC is right - angles triangle


Hence proved


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Importance of Sine rule and cosine ruleImportance of Sine rule and cosine ruleImportance of Sine rule and cosine rule47 mins
Interactive Quiz on Sine and cosine ruleInteractive Quiz on Sine and cosine ruleInteractive Quiz on Sine and cosine rule45 mins
Sine & Cosine RuleSine & Cosine RuleSine & Cosine Rule53 mins
Vectors- Cosine & SIne RuleVectors- Cosine & SIne RuleVectors- Cosine & SIne Rule54 mins
Quiz on sine rule, cosine rule and half angle formulaQuiz on sine rule, cosine rule and half angle formulaQuiz on sine rule, cosine rule and half angle formula54 mins
Applications of +I and -IApplications of +I and -IApplications of +I and -I41 mins
NCERT Exemplar|Excretory Products and their Elimination Part 1NCERT Exemplar|Excretory Products and their Elimination Part 1NCERT Exemplar|Excretory Products and their Elimination Part 131 mins
NCERT Exemplar|Excretory Products and their Elimination Part 2NCERT Exemplar|Excretory Products and their Elimination Part 2NCERT Exemplar|Excretory Products and their Elimination Part 232 mins
Introduction To Cell DivisionIntroduction To Cell DivisionIntroduction To Cell Division60 mins
Cell - The unit of Life - 02Cell - The unit of Life - 02Cell - The unit of Life - 0268 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses