Question

Find the cost of leveling the ground in the from of a triangle having Its side as 70 cm, 50
cm, and 60 cm, at 7 per square meter.​
solve from heron formula​

Answer 1

$\rm\bf\underline{Solution:}$

Given:

Sides of triangle = 70 cm, 50 cm and 60 cm

To find : Cost of leveling the ground

Solution :

Let the Sides of triangle are a = 70 cm, b = 50 cm and c = 60 cm

Semi Perimeter of the triangle, s = (a + b + c)/2 =

s = (70 + 50 + 60)/2 cm

s = 180/2 cm

s = 90 cm

Using Heron's formula :

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

(Here, a,b and c are the sides of the triangle)

A = √90(90 - 70)(90 - 50)(90 - 60) cm²

A = √90 × 20 × 40 × 30

A = √9 × 2 × 4 × 3 × 10000

A = √ 36 × 6 × 10000

A = 600√6 cm²

Area of the triangle is 600√6 cm².

A = 600√6/10000 m²

[1 cm² = 1/10000 m²]

Cost of leveling 1 m² of the ground = ₹ 7

Cost of leveling 600√6/10000 m² of the ground = ₹ 7 × 600√6/10000 = 42√6/100 = 42 × 2.45/100 = 102.9/100 = ₹ 1.02

Hence, the cost of levelling the ground at ₹ 7 per metre square is ₹ 1.02.

Answer 2

$\large \tt \pink {answer}$

Given:

Sides of triangle = 70 cm, 50 cm and 60 cm

To find : Cost of leveling the ground

Solution :

Let the Sides of triangle are a = 70 cm, b = 50 cm and c = 60 cm

Semi Perimeter of the triangle, s = (a + b + c)/2 =

s = (70 + 50 + 60)/2 cm

s = 180/2 cm

s = 90 cm

Using Heron's formula :

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

(Here, a,b and c are the sides of the triangle)

A = √90(90 - 70)(90 - 50)(90 - 60) cm²

A = √90 × 20 × 40 × 30

A = √9 × 2 × 4 × 3 × 10000

A = √ 36 × 6 × 10000

A = 600√6 cm²

Area of the triangle is 600√6 cm².

A = 600√6/10000 m²

[1 cm² = 1/10000 m²]

Cost of leveling 1 m² of the ground = ₹ 7

Cost of leveling 600√6/10000 m² of the ground = ₹ 7 × 600√6/10000 = 42√6/100 = 42 × 2.45/100 = 102.9/100 = ₹ 1.02

Hence, the cost of levelling the ground at ₹ 7 per metre square is ₹ 1.02.