$$ B C ^ { 2 } = 8 cm ^ { 2 } + 6 cm ^ { 2 } $$

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$$ BC = \sqrt{14} 	ext{ cm} $$ or approximately 3.74 cm. To solve the equation $$ BC^2 = 8 	ext{ cm}^2 + 6 	ext{ cm}^2 $$, we first need to simplify the right side of the equation by adding the two terms together. $$ BC^2 = 8 	ext{ cm}^2 + 6 	ext{ cm}^2 $$ $$ BC^2 = 14 	ext{ cm}^2 $$ Now we have a simple equation to solve for $$ BC $$. Since $$ BC^2 = 14 	ext{ cm}^2 $$, we need to find the square root of both sides to solve for $$ BC $$. $$ \sqrt{BC^2} = \sqrt{14 	ext{ cm}^2} $$ $$ BC = \sqrt{14} 	ext{ cm} $$ The square root of 14 is an irrational number, so we can leave it in radical form or approximate it to a decimal. The approximate value of $$ \sqrt{14} $$ is 3.7416573867739413, so: $$ BC \approx 3.74 	ext{ cm} $$ Therefore, the length of $$ BC $$ is approximately 3.74 cm.

\( B C ^ { 2 } = 8 cm ^ { 2 } + 6 cm ^ { 2 } \)

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\( B C ^ { 2 } = 8 cm ^ { 2 } + 6 cm ^ { 2 } \)

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