Question

find the area of the following triangle by heron's formula?
a. ∆ABC, A= 360m, B= 200m, C= 240m?
b. A= 240m, B= 320m, C= 400 m?
c. A right ∆ ABC, angle B= 90, AB= 9m, BC= 40m? ​

Answer 1

Answer:

Length of the triangular field for wheat = 240 m , 200 m , 360 m

Length of the triangular field for potato & onion = 240 m , 320 m , 400 m

To find: Area of the filed used for Wheat , Potato and Onion .

we use Heron's formula to find area of triangle.

s is semi perimeter  and a , b, c are side,

For first field,

let, a = 240 , b = 200 , c = 360

s = 240+200+360/2 = 800/2 = 400 m

Area of field

                   

                   

                   

1 hector = 10000 m²

So, 16000√2 m² = 22627.4 m² = 2.2 hector

For second field,

let, a = 240 , b = 320 , c = 400

s = 240+320+400/2 = 960/2 = 480 m

Area of field

                   

                   

                   

Second field is divided in 2 equal areas.

So, Area of Potato = Area of Onion = 19200√3/2 = 9600√3 m² = 16627.69 m² = 1.7 hector

check the attached file above

Step-by-step explanation:

In ∆ABC

A=360 m ; B=200m ;C=240m

Area of triangle =