RS Aggarwal & V Aggarwal - Mathematics

Book: RS Aggarwal & V Aggarwal - Mathematics

Chapter: 7. Areas

Subject: Mathematics - Class 9th

Q. No. 24 of CCE Questions

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24

The question consists of two statements namely, Assertion (a) and Reason (R). Please select the correct answer.


Assertion (A)



Reason (R)



The area of an isosceles triangle having base = 24 cm and each of the equal sides equal to 13cm is 60cm2.



If 2s = (a + b+ c) where a, b, c are the sides of a triangle, then area = .


From the given question, we have

a = 24 cm, b = 13 cm and c = 13 cm


s =


=


=


= 25 cm


Now, by using heron’s formula we have:


Area of triangle =


=


=


= 5 × 12


= 60 cm2


Also, if 2s = (a + b + c) where a, b and c are the sides of the triangle then:


Area =


Assertion and reason both are correct


Hence, option (a) is correct

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