a farmer has a triangular field with sides 360m 200m and 250m where he grows wheat adjacent to this field he has another triangular field with sides 240m-320m and 400m divided into two parts by joining the midpoint of the longest side to the opposite vertex he grows food item in one part in onions in another birds how much area in hectares has been used for wheat potatoes and onions (1 hectare=10000msquare). (Knock knock tauf question aya plese guys mujhe follow kar dena pls pls aise hi mai rojana apse aise question puchta rahunga
Answers
Given:
A farmer has a triangular field with sides 360m 200m and 250m where he grows wheat adjacent to this field he has another triangular field with sides 240m-320m and 400m divided into two parts by joining the midpoint of the longest side to the opposite vertex he grows food item in one part in onions in another bird.
To find:
How much area in hectares has been used for wheat potatoes and onions
Solution:
Area of Triangle with sides 200 m, 250 m and 360 m for Wheat
s = (200 + 250 + 360)/2 = 405
Area using hero Formula
= √405 (405-200)(405-250)(405-360)
= √405 * 205 * 155 * 45
= 24064 m²
= 2.41 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
As the second triangle is divided into 2 parts, we have 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 = 2.41 Hectare