question_answer 6)

                Using the given pattern, find the missing numbers: \[{{1}^{2}}+{{2}^{2}}+{{2}^{2}}={{3}^{2}}\] \[{{2}^{2}}+{{3}^{2}}+{{6}^{2}}={{7}^{2}}\] \[{{3}^{2}}+{{4}^{2}}+{{12}^{2}}={{13}^{2}}\] \[{{4}^{2}}+{{5}^{2}}+\underline{\,\,\,\,\,{{\,}^{2}}}={{21}^{2}}\] \[{{5}^{2}}+\underline{\,\,\,\,\,{{\,}^{2}}}+{{30}^{2}}={{31}^{2}}\] \[{{6}^{2}}+{{7}^{2}}+\underline{\,\,\,\,\,{{\,}^{2}}}=\underline{\,\,\,\,\,{{\,}^{2}}}\]

Answer:

                \[{{4}^{2}}+{{5}^{2}}+{{\underline{20}}^{2}}={{21}^{2}}\] \[{{5}^{2}}+{{\underline{6}}^{2}}+{{30}^{2}}={{31}^{2}}\] \[{{6}^{2}}+{{7}^{2}}+\underline{{{42}^{2}}}+\underline{{{43}^{2}}}\]