pls answer the questions I will make u as brainlist plssss
Answers
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.