RS Aggarwal & V Aggarwal - Mathematics

Book: RS Aggarwal & V Aggarwal - Mathematics

Chapter: 7. Areas

Subject: Mathematics - Class 9th

Q. No. 4 of Exercise 7A

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4

Calculate the area of the triangle whose sides are 18cm, 24cm and 30 cm in length. Also, find the length of the altitude corresponding to the smallest side.

Given,


a = 18 cm


b = 24 cm


c = 30 cm


Therefore,


s =


= 36


We know that,


Area =


=


=


=


= 6 × 6 × 3 × 2


= 216 cm2


Smallest side = a = 18 cm


Let, h be the height corresponding to the smallest side of the triangle


Therefore,


Area of triangle =


216 =


18 × h = 216 × 2


h =


= 24 cm


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