a farmer has right angled triangular field of side 72 m, 120m,96m.sides are divided in the ratio 5 : 3, so that he can plant saplings of tomato in the bigger reason and that of mango in other reason the aerial view of the triangle field is shown in below figure
Answers
Given : a farmer has right angled triangular field of side 72 m, 120m,96m.sides are divided in the ratio 5 : 3,
plant saplings of tomato in the bigger reason and that of mango in other reason
To Find : Area of the complete field
Area of tomato sapling
Area of Mango sapling
Solution:
right angled triangular field of side 72 m, 120m,96m.sides
Area of triangle = (1/2)72*96
= 3456 sq m
Area of complete field = 3456 m²
sides are divided in the ratio 5 : 3,
=> AD = (5/(5 + 3)) 72 = 45
AE =(5/(5 + 3))96 = 60
Area of ΔADE = (1/2) * 45 * 60 = 1350 m²
Area of BCED = 3456 - 1350 = 2106 m²
Area of tomato = 2106 m²
Area of Mango = 1350 m²
Largest side in which mango is there = √45² + 60² = 75 m
perimeter ADE = 45 + 60 + 75 = 180
perimeter ABC = 72 + 96 + 120 = 288
180 : 288
= 5 : 8
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