Math, asked by as3801504, 1 month ago

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Answered by IamIronMan0
88

Answer:

\huge{\red{26}}

Step-by-step explanation:

Note the pattern

 \frac{ {7}^{2}   + {5}^{2} }{7 - 5} =  \frac{49 + 25}{2}   =  \frac{74}{2} = 37 \\  \\  \\  \frac{ {8}^{2} +  {4}^{2}  }{8 - 4}  =   \frac{64 + 36}{4}  =  \frac{80}{4}   = 20 \\  \\  \frac{ {10}^{2} +  {6}^{2}  }{10 - 6}  =  \frac{100 + 36}{4}  =  \frac{136}{4}  = 34 \\  \\

So by following this pattern we get

 \frac{ {6}^{2}  +  {4}^{2} }{6 - 4}  =  \frac{36 + 16}{2}  =  \frac{52}{2}  = 26

Answered by Anonymous
98

Answer:

Solution :-

In case of first one : (Refer the first picture)

\implies \sf \dfrac{(7^2 + 5^2)}{(7 - 5)}

\implies \sf \dfrac{(7 \times 7) + (5 \times 5)}{2}

\implies \sf \dfrac{49 + 25}{2}

\implies \sf \dfrac{\cancel{72}}{\cancel{2}}

\implies \sf\bold{\purple{37}}

Similarly,

In case of second one : (Refer the second picture)

\implies \sf \dfrac{(10^2 + 6^2)}{(10 - 6)}

\implies \sf \dfrac{(10 \times 10) + (6 \times 6)}{4}

\implies \sf \dfrac{100 + 36}{4}

\implies \sf \dfrac{\cancel{136}}{\cancel{4}}

\implies \sf\bold{\purple{34}}

Similarly,

In case of third one : (Refer the third picture)

\implies \sf \dfrac{(8^2 + 4^2)}{(8 - 4)}

\implies \sf \dfrac{(8 \times 8) + (4 \times 4)}{4}

\implies \sf \dfrac{64 + 16}{5}

\implies \sf \dfrac{\cancel{80}}{\cancel{4}}

\implies \sf\bold{\purple{20}}

Now, we have to find the fourth one : (Refer the fourth picture)

Similarly,

\leadsto \sf \dfrac{(6^2 + 4^2)}{(6 - 4)}

\leadsto \sf \dfrac{(6 \times 6) + (4 \times 4)}{2}

\leadsto \sf \dfrac{36 + 16}{2}

\leadsto \sf \dfrac{\cancel{52}}{\cancel{2}}

\leadsto \sf\bold{\red{26}}

\therefore The answer for the last box is 26.

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