Question

pls answer it I will mark u as brainlist​

Answer 1

Answer:

Area for Potatoes Cultivation = 1.92 Hectare

Area for Onion Cultivation = 1.92 hectare

Area for Wheat Cultivation = 2.26 Hectare

Step-by-step explanation:

The sides of the given triangles are:

Wheat cultivation - 240 m, 200 m and 360 m

We use Herons Formula to solve this problem:

Semi - Perimeter = (240 + 200 + 360) / 2

=> 400

Now,

Finding Area by using Herons Formula:

= > \sqrt{400(400-240)(400-200)(400-360)}=>

400(400−240)(400−200)(400−360)

= > \sqrt{(400)(160)(200)(40)}=>

(400)(160)(200)(40)

= > 16000\sqrt{2}m^{2}=>16000

2

m

2

Converting Meter to Hectare:

1 Meter = 1 / 10,000 Hectare

= > 16000\sqrt{2}m^{2}=>16000

2

m

2

/ 10,000

= > 1.6\sqrt{2} hectare=>1.6

2

hectare

=> 1.6 * 1.414 (Substituting the value of \sqrt{2}

2

as 1.414)

=> 2.26 Hectare (approx.)

Area of the other Triangle which has the side measures as:

=> 240 m, 320 m and 400 m

These measures are for calculating area required for Onions and Potatoes cultivation.

Again we use Herons Formula here:

Semi - Perimeter = (240 + 320 + 400) / 2 = 480

Area required for Onions and Potatoes\sqrt{(480)(240)(160)(80)}

(480)(240)(160)(80)

= > \sqrt{(480)(240)(160)}=>

(480)(240)(160)

= 38,400 m²

Again Converting Meters to Hectares:

=> 38,400 / 10,000

=> 3.84 Hectares

Now, we divide the field into two parts by joining the mid - point of the longest side to the opposite vertex the Median as per the question. Median of a triangle divides the triangle into two equal parts and therefore the area of these equal parts will also be equal.

=> 3.84/2

=> 1.92 Hectare

Therefore, the final answer is as follows:

Area required for Potatoes Cultivation = 1.92 Hectares.

Area required for Onions Cultivation = 1.92 Hectares.

Area required for Wheat Cultivation = 2.26 Hectares.