Question

the sides of triangleare 100m ,120m ,and 140m find it's area

Answer 1

Given:

The sides of a triangle are 100m, 120m, and 140m

To Find:

The area of the given triangle

Solution:

Given triangle is an example of a scalene triangle as the length of each side is different

Area of the given triangle will be calculated by heron's formula.

Let the sides be a = 100m, b=120m and c = 140m

Semiperimeter, s = a+b+c/2 = (100+120+140)/2 = 360/2 = 180

Area of triangle, a = √s(s-a)(s-b)(s-c)

= √180(180-100)(180-120)(180-140)

= √180(80)(60)(40)

= 5878.7 m²

Hence, area of the given triangle is 5878.7 m²

Answer 2

Answer:

Given triangle is an example of a scalene triangle as the length of each side is different

Area of the given triangle will be calculated by heron's formula.

Let the sides be a = 100m, b=120m and c = 140m

Semiperimeter, s = a+b+c/2 = (100+120+140)/2 = 360/2 = 180

Area of triangle, a = √s(s-a)(s-b)(s-c)

= √180(180-100)(180-120)(180-140)

= √180(80)(60)(40)

= 5878.7 m²

Hence, area of the given triangle is 5878.7 m²