Find the Area of a Triangle Whose Sides Are Respectively 150 Cm, 120 Cm and 200 Cm ? - Mathematics

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Find the area of a triangle whose sides are respectively 150 cm, 120 cm and 200 cm ?

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Solution

The triangle whose sides are
a = 150 cm
b = 120 cm
c = 200 cm
The area of a triangle =`sqrt(s(s-a)(s-b)(s-c)`

Here 1s = semi perimeter of triangle

`2s=a=b=c`

`s=(a+b+c)/2= (150+200+120)/2 =235 cm`

area of triangle =`sqrt(s(s-a)(s-b)(s-c)`

`=sqrt(235(235-150)(235-200)(235-120))`

`=sqrt(235(85)(35)(115))cm^2`

`=8966.56cm^2`

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Chapter 17: Heron’s Formula - Exercise 17.1 [Page 8]

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RD Sharma Mathematics for Class 9
Chapter 17 Heron’s Formula
Exercise 17.1 | Q 1 | Page 8

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