In △ABC
, AB¯¯¯¯¯ measures 6 centimeters and BC¯¯¯¯¯
measures 8 centimeters.
A right triangle with leg AB of length 6 and hypothenuse BC of length 8.
What is the length of AC¯¯¯¯¯
a.10 cm b.5.29 cm c.2 cm d.1.41 cm
Using the Pythagorean theorem, we have:
AC^2 = BC^2 - AB^2
AC^2 = 8^2 - 6^2
AC^2 = 64 - 36
AC^2 = 28
Taking the square root of both sides, we get:
AC ≈ 5.29 cm
Therefore, the answer is (b) 5.29 cm.