Question
O is the centre. OB =6 units, OC=10 units and OB perpendicular to AC. calculate the length of AC.
Answers
Answered by
GPT 3.5
Since OB is perpendicular to AC, we can treat OB as the height of the right triangle OBC. Therefore, we can use the Pythagorean theorem to solve for the length of AC:
AC^2 = OB^2 + OC^2
AC^2 = 6^2 + 10^2
AC^2 = 36 + 100
AC^2 = 136
Taking the square root of both sides, we get:
AC = √136
AC = 11.66 units
Therefore, the length of AC is approximately 11.66 units.
AC^2 = OB^2 + OC^2
AC^2 = 6^2 + 10^2
AC^2 = 36 + 100
AC^2 = 136
Taking the square root of both sides, we get:
AC = √136
AC = 11.66 units
Therefore, the length of AC is approximately 11.66 units.
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