Question

The perimeter of a triangular field is 240m. If two of its sides are 50m and 78m, find the cost of watering it at ₹2.75 per 100rp²​

Answer 1

Answer:

Perimeter of the triangle = 240 dm

Two sides (given) = 78 dm and 50 dm

Third side of the triangle = 240 - (78 + 50)

= 240 dm - 128 dm

= 112 dm

s = (a + b + c)/2

= (78 + 50 + 112)/2

= 240/2

s = 120 dm

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

⇒ √120 (120 - 50)(120 - 78)(120 - 112)

⇒ √120*70*42*8

⇒ √2822400

Area of the triangle = 1680 sq dm

Now, 

Area of the triangle = 1/2*base*height

Height = 2*area/base

 ⇒ (2*1680)/50 

⇒ 336/5

height = 67.2 dm

Step-by-step explanation:

ur ans mate......