Two secants of a circle meet in a point out side to the circle. One Secant has 4 and x. The other Secant is 5 and 4. What will be x?
"One Secant has 4 and x" is not clear.
Is 4 the length of the entire secant or just the part inside the circle?
In general, if you have two secants to the same circle
(whole of secant #1)(outside part of secant#1) = (whole of secant#2)(outside part of secant#2)
So look at your diagram, and plug the values into my equation.
thanks
To find the value of x, we need to use the intersecting secant theorem, also known as the secant-secant theorem.
According to the theorem, if two secants intersect outside a circle, the product of the lengths of one secant and its external portion will be equal to the product of the lengths of the other secant and its external portion. Mathematically, this can be expressed as follows:
Secant1 * External portion of Secant1 = Secant2 * External portion of Secant2
Using the given information, we can set up the equation:
4 * x = 5 * 4
Now, let's solve the equation for x:
4x = 20
Divide both sides of the equation by 4:
x = 20 / 4
Simplifying the division:
x = 5
Therefore, the value of x is 5.