9.
A farmer has a field in the shape of a right triangle with legs of lengths 24 m and 10 m. He
wants to leave a space in the form of a square of largest size inside the field for growing
wheat and the remaining for growing vegetables
4 * 1 = 4
А
E
Doom
1
с
B
2Gm
1) A water pipe is running along the AC. What length of the pipe?
a) 10
b) 24
c) 12
d) 26
ii) The length of the plot of wheat growing area is
a) 120/14
b)
120/17
C) 120/27
d) 120/34
iii) Which theorem is used for calculating length of square plot?
a) AAA similarly b) SAS similarly c) Pythagoras
d) SSS similarly
iv) Find the total area of vegetable growing and wheat growing field?
b) 240
a 120
d) 150
c) 200
Answers
Given : A farmer has a field in the shape of a right triangle with legs of lengths 24 m and 10 m.
He wants to leave a space in the form of a square of largest size inside the field for growing wheat and the remaining for growing vegetables
A water pipe is running along the AC
To Find :
. What length of the pipe
The length of the plot of wheat growing area
Which theorem is used for calculating length of square plot
total area of vegetable growing and wheat growing field?
Solution:
length of the pipe² = 24² + 10² = 26²
=> length of the pipe = 26 m
Let say side of square of largest size = x
using AAA
AAA theorem is used for calculating length of square plot
(10 - x)/x = x/(24 - x)
=> 240 - 10x - 24x + x² = x²
=> 240 - 34x = 0
=> 120 - 17x = 0
=> x = 120/17
The length of the plot of wheat growing area is 120/17
Area of triangle = (1/2) * 24 * 10 = 120 m²
total area of vegetable growing and wheat growing field = 120 m²
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