RS Aggarwal & V Aggarwal - Mathematics

Book: RS Aggarwal & V Aggarwal - Mathematics

Chapter: 7. Areas

Subject: Mathematics - Class 9th

Q. No. 25 of CCE Questions

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25

If the base of an isosceles triangle is 6cm and its perimeter is 16cm, then its area is 12cm2.

It is given in the question that,

Base of the triangle, b = 6 cm


Equal sides of the isosceles triangle = a cm


Perimeter = 16 cm


We know that,


Perimeter = Sum of all sides


16 = a + a + 6


16 = 2a + 6


2a = 10


a =


a = 5 cm


Area of an isosceles triangle =


=


= 1.5 ×


= 1.5 ×


= 1.5 × 8


= 12 cm2


Hence, the given statement is true


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