Q. 18

If a, b, and c are the sides of a triangle such that a + b = c. Prove that the area of a triangle equals to zero. Find the value for which area is not equal to zero.

Answer :

To Find: Value for which area is not equal to zero.

Given: a, b, and c are sides of the triangle and a + b = c.


Concept Used:


If sides of a triangle are a, b, and c, then area of a triangle is given by:



Where s = semiperimeter of the triangle



Explanation:



Putting, a + b = c




Area = 0


Hence, with the given condition, Area = 0.


Now, we know that the square root does not contain a negative value.


Therefore,


(a + b) > c will give positive values.


Hence, for (a + b) > c, area of the triangle is not equal to zero.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
NCERT | Heron's FormulaNCERT | Heron's FormulaNCERT | Heron's Formula49 mins
Quiz | Heron's FormulaQuiz | Heron's FormulaQuiz | Heron's Formula44 mins
NCERT | IMP Qs on Herons FormulaNCERT | IMP Qs on Herons FormulaNCERT | IMP Qs on Herons Formula44 mins
Champ Quiz | Heron's FormulaChamp Quiz | Heron's FormulaChamp Quiz | Heron's Formula41 mins
RD Sharma | IMP Qs from Heron's FormulaRD Sharma | IMP Qs from Heron's FormulaRD Sharma | IMP Qs from Heron's Formula45 mins
Heron's FormulaHeron's FormulaHeron's Formula43 mins
NCERT | Master all Question Types of Heron's FormulaNCERT | Master all Question Types of Heron's FormulaNCERT | Master all Question Types of Heron's Formula46 mins
Heron's formulaHeron's formulaHeron's formula32 mins
Champ Quiz | Know About Heron's FormulaChamp Quiz | Know About Heron's FormulaChamp Quiz | Know About Heron's Formula53 mins
Smart Revision | Heron's FormulaSmart Revision | Heron's FormulaSmart Revision | Heron's Formula39 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