Question

$\tt{ \red{answer \: the \: question \: by}} \\ \tt{ \red{ finding \: the \: missing \: term}}$
Let"s solve
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Answer 1

$\large{ \underline{ \underline{ \frak{ \color{red}{sol \color{grey}uti \color{blue}on}}}}}$

$\tt\color{brown}{in \: first \: figure}$

$\tt\color{brown}taking$

a = 5 ; b = 4 , c = 3 ; d = 2 and z = 28

$\tt {\color{orange}we \: will \: get}$

$\tt \: 28 = ( {5}^{2} + {4}^{2} ) - ( {3}^{2} + {2}^{2} )$

Hence, we can say that the rule followed is

$\boxed{ \boxed{\bf \color{green}z = ( {a}^{2} + {b}^{2} ) - ( {c}^{2} + {d}^{2} )}}$

$\tt {\color{brown}in \: second \: figure}$

$\tt \: \color{brown}taking$

a = 8 ; b = 4 ; c = 8 ; d = ? and z = 12

$\tt \color{orange}so$

$\tt \: 12 = ( {8}^{2} + {4}^{2} ) - ( {8}^{2} + {d}^{2} )$

Solving the equation

$\tt \: 12 = {8}^{2} + {4}^{2} - {8}^{2} - {d}^{2} \\ \\ \tt \: 12 = \cancel{ {8}^{2} } + {4}^{2} \cancel{ { - 8}^{2} } - {d}^{2} \\ \\ \tt \: 12 = 16 - {d}^{2} \\ \\ \tt \: {d}^{2} = 16 - 12 \\ \\ \tt {d}^{2} = 4 \\ \\ \boxed{ \boxed{ \bf{ \color{red}d = 2}}}$

Hence, the Missing term will be

option (b) 2.

Answer 2

Step-by-step explanation:

option b) 2 is the correct answer