AB=13meters is the diameter of a circle a man moves from A in a straight line and meets the circumference of the circle at C if AC=5meters then CM=?
Answers
Answered by
2
Since the man moves from A in a straight line and meets the circle at it its circumference, then AC is a chord.
AC = 5 cm
A line originating from the diameter to the circumference meets another line from the diameter to the circumference to form a right angled triangle.
Therefore triangle ACB is a right angled triangle.
The hypotenuse = 13 cm
The base = 5cm
By pythagorean theorem %
13² - 5² = h²
h² = 144
h = √144 = 12
= 12 cm
CB = 12cm
Similar questions