Pythagorean Theorem: Finding BC in an 8cm × 6cm Right Triangle

To find the length of the hypotenuse BC in a right-angled triangle where AB and AC are the other two sides, we use the Pythagorean theorem: $c^2 = a^2 + b^2$.

Here, $a = 6 \text{ cm}$ and $b = 8 \text{ cm}$.

Plugging the values into the Pythagorean theorem, we get:

$c^2 = 6^2 + 8^2$.

Calculating further:

$c^2 = 36 + 64$

$c^2 = 100$.

Taking the square root of both sides gives:

$c = 10 \text{ cm}$.