Question

if the length of the side of triangular plot of land are 68m 32 m and 60m what is the area​

Answer 1

Answer:

Area of Triangular plot = 960$m^{2}$

Step-by-step explanation:

According to the information provided in the question it is given as

length of the side of triangular plot of land are 68 m 32 m and 60 m

We need to find what is the area​

Now by applying Heron's formula Heron's formula, formula credited to Heron of Alexandria . for finding the area of a triangle in terms of the lengths of its sides. In symbols, if a, b, and c are the lengths of the sides: Area = Square root of√s(s - a)(s - b)(s - c) where s is half the perimeter, or (a + b + c)/2.

S =a + b+ c / 2

Here a =68 m,b= 32 m,c= 6 m

Substituting the value we get answer

                           $S =\frac{68+32+60}{2} \\S = \frac{160}{2} \\S = 80$

$\therefore \text { area of } \Delta=\sqrt{80(80-68)(80-32)(80-60)}$

                 

                      $=\sqrt{80 \times 12 \times 48 \times 20}$

                     $=\sqrt{921600} \\=960m^{2}$

Hence area of Triangular plot is 960$m^{2}$

               

Answer 2

Answer:

By using Heron’s Formula

area : S = Sqrt (s(s-a) (s-b) (s-c) )

keeping s = (a+b+c)/2

Area of the triangle is 960m^2