A farmer had four land plots as shown. He has to divide the plots equally among $2$ of his sons. He gives plot $^{'} a^{'}$ and plot $^{'} b^{'}$ to his elder son and area $^{'} c^{'}$ to his younger son. He gave equal plots to his sons. [ $a, b c$ are also the side of the triangle in the figure]

True

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False

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Solution

The correct option is A
True

Area of $plot (a) = a^{2}$

Area of $plot (b) = b^{2}$

Area of $plot (c) = c^{2}$

Now, in the given triangle, apply Pythagoras Theorem:

$c^{2} = a^{2} + b^{2}$

Thus, Area of $plot (a)$ and $plot (b)$ together is equal to area of $plot (c)$

Thus, the father gave equal plots to his sons.

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A farmer had four land plots as shown. He has to divide the plots equally among 2 of his sons. He gives plot ′a′ and plot ′b′ to his elder son and area ′c′ to his younger son. He gave equal plots to his sons. [a, b c are also the side of the triangle in the figure]

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A farmer had four land plots as shown. He has to divide the plots equally among $2$ of his sons. He gives plot $^{'} a^{'}$ and plot $^{'} b^{'}$ to his elder son and area $^{'} c^{'}$ to his younger son. He gave equal plots to his sons. [ $a, b c$ are also the side of the triangle in the figure]