Kamla has a triangular field with sides 240 m,200m ,360m ,where she grew wheat .In another triangular field with sides 240,320,400m adjacent to the previous field ,she wanted to grow potatoes and Onions .She divided the field in two parts by joining the mid point of the longest side to the opposite vertex and grew potatoes in one part and onions in other part.how much area (in Hectares) has been used for wheat,potatoes and onions ? (1 hectare=10000m²)
Answers
Answer:
Potatoes = 1.92 Hectare
Onion = 1.92 hectare
Wheat = 2.26 Hectare
Step-by-step explanation:
Area of Triangle with sides
240 m, 200 m and 360 m for Wheat
s = (240 + 200 + 360)/2 = 400
Area using hero Formula
= √400 (400-240)(400-200)(400-360)
= √400 * 160 * 200 * 40
= 16000√2 m²
=1.6√2 hectare
= 2.26 Hectare
Area of Triangle with sides
240 m, 320 m and 400 m for onion & Potato
s = (240 + 320 + 400)/2 = 480
Area = √480 * 240 * 160 * 80
= 38400 m²
= 3.84 Hectare
divided the field into two parts by joining the mid point of the longest side to the opposite vertex i.e Median
Median Divides the triangle into two equal area
= 3.84/2
= 1.92 Hectare
Potatoes = 1.92 Hectare
Onion = 1.92 hectare
Wheat = 2.26 Hectare
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